Quadratic equations are used for many applications. The formula to solve quadratic equations can be used to solve all quadratic equations, even those that cannot be factored. A common application of quadratic equations is the height of a thrown object over time, which takes the earth's gravity and the velocity of the throw into account. For example, if someone throws a ball down from a height of 100 meters, the ball's distance from the ground can be modeled by the equation: d = − 9.8 t 2 − 15 t + 100 where t is the time in seconds and d is the distance in meters. At what time (t) will the ball hit the ground? (Hint: what does this mean for d=distance?) You will get two answers. Do both make sense? (Explain in detail Why or Why not).

Q: How to Use the quadratic formula to solve the equation 9x2−24x+52=0.

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Q: x2 + 5x + 6 = %3D

A: Follow next step

Q: Factoring a)  5x2 - 11x + 2 + 0 Quadratic Formula b)  8x2 - 14x + 15

A: In this question we will use basic of algebra i.e factorization of polynomial.  First we will simply…

Q: The roots of a quadratic equation are imaginary. Which of the following statement is true about the…

A: Given that the roots of the quadratic equation is imaginary.

Q: In the quadratic equation Ax2+BX+C =0, describe the roots when B2-4AC is positive. The roots are…

A: The given quadratic equation is Ax2+Bx+C=0

Q: Solving a Polynomial Equation by FactoringSolve x3 − 3x2 − 3x + 9 = 0.

A: Definition used -              For factoring a cubic polynomial having four terms, We try to get…

Q: Factoring Quadratic Expressions, Part 3 Determine whether the following equation is true or false.…

A: We have given the following equation- 6x2 + 13x + 6 = (2x + 3) (3x + 2) We have to determine weather…

Q: Write your own original simple word problem that can be solved using a linear equation. Then solve…

A: Problem  A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360…

Q: If 3  4i is a solution of a quadratic equation with realcoefficients, then is also a solution of…

A: To solve the given problem.

Q: For some equations of the form ar2+ bx +c=0 you can solve by factoring, completing the square, or…

A: Given the quadratic equation ax2 + bx + c If factorisation of (a*c) takes place such that both…

Q: The roots of a quadratic equation are 2 and 5.Which of the following statement is true about the…

A: We will find out the required value.

Q: the quadratic equation only by completing the square. x² + 10x-9 = 0

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Q: If 3 + 4i is a solution of a quadratic equation with real coefficients, then is also a solution of…

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Q: in the quadratic equation Ax²+BX+C =0, describe the roots when B²-4AC is negative. A The roots are…

A: As we know that; For the quadratic equation Ax2+Bx+C=0 (a). If D=B2-4AC>0,  the roots are real…

Q: uadratic equations are used for many applications. The formula to solve quadratic equations can be…

A: According to this question:A ball thrown from a height 100m, distance of ball from the ground can be…

Q: If you are given a Quadratic Equation, how do you determine which method to use to solve it?  a.…

A: If x2+bx+c=0 is a quadratic equation after the necessary operations to given equation. Square root…

Q: A quadratic equation is sometimes called a equation.(a) first-degree (b) second-degree(c)…

A: Given: A quadratic equation is sometimes called an equation.(a) first-degree (b) second-degree(c)…

Q: In a quadratic equation(y=ax^2+bx+c) how does the change in values created in the a,b and c values…

A: In a quadratic equation y=ax2+bx+c. to determine how does the change in values created in the a, b,…

Q: Given a quadratic equation, what is the discriminant and what information does it provide about the…

A: Given: Let the quadratic equation be ax2+bx+c=0

Q: 113. Given a quadratic equation, what is the discriminant and what information does it provide about…

A: What is the discriminant and what information does it provide about the given quadratic equation.

Q: A company’s revenue can be modeled with a quadratic equation. The company noticed that when they…

A: First of all, consider the general form of quadratic equation.

Q: 3x2 + 5x – 11 = 1

A: Here is the solution:

Q: 1. Solve the quadratic equation: (x + 4) - 36 - 0, using any method (besides cheating). Make sure…

A: A quadratic equation is an equation that may be expressed as Ax2+Bx+C=0where A, B, C are real…

Q: Based on what you have learned about the solutions of quadratic equations, which statement is true…

A: Given That: The quadratic equation, x2-32x+200 = 44

Q: 4x² + 35x - 46 = 4

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Q: Define and provide an example of a quadratic equation. Find the discriminant of the provided…

A: An equation of the form ax^2 +bx+c=0 is known as quadratic equation .THe formula of discriminant is…

Q: A quadratic equation is sometimes called a______ equation. (a) first-degree (b) second-degree (c)…

A: A quadratic equation is sometimes called a

Q: Solve the quadratic equation x2+4x+3=0 by factoring. If there is more than one correct answer, enter…

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Q: True or False Quadratic equations always have two real solutions.

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Q: Which of the following is NOT a method for solving a quadratic equation? 1 point quadratic…

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Q: Solve the quadratic equation by completing the square. x-2x-10=0 First, choose the appropriate form…

A: See the details solution in below

Q: A man has a rectangular garden. One length of the garden lies along a patio wall. However, the rest…

A: The perimeter of the rectangle is the total distance of the boundaries of the rectangle. The length…

Q: x² – 2x -1 = 2

A: Please refer the attached image for complete solution. THANK YOU.

Q: Briefly discuss the effects of changing the values of a, h and k in the graph of quadratic…

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Q: (a) Factor 2x2−8x−102x2−8x−10 completely. (b) Solve the quadratic equation 28x+16=8x228x+16=8x2…

A: Hi!. Thanks for your question. Since you have posted multiple questions in a single request, we will…

Q: 2x^2 + 9x = -7 Solve using quadratic formula

A: Given equation is -  2x2 +9x = -7  2x2 +9x +7 =0  Quadratic formula is -  x= [ -b ± √(b2 -4ac) ] / (…

Q: Solve the quadratic equation. Simplify your result as much as possible. 2. 3x ²-4x 1 = 0

A: To solve the quadratic equation.

Q: The equation (x + 1)² – 5(x + 1) + 6 = 0 is of type. To solve the equation, we set W = The result-…

A: (x+1)2-5(x+1)+6=0

Q: Write the quadratic equation whose roots are  −5  and  1 , and whose leading coefficient is  2

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Q: Examples: Find the solutions to the quadratic equations. 1. x + 6x = -9 2. x2 - 20 = 5

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Q: quadratic formula: 4(x²-4x)= -7

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Q: 3x^2-x-10=0 solve without using the quadratic formula

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Q: The area of a triangle is 78 m2, and its base is 1 m more than the height. (See the figure below.)…

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Q: The quadratic equation x = 36 has solutions +6. %3D

A: Given,          The quadratic equation x2=36 has solutions ±6.To find : Check whther it is correct…

Q: X2 + 3x – 5 = 0 3x2 – 6x – 3 = 0 Use a formula to solve the quadratic. You need to explain your…

A: We want to solve the Given quadratic equation.

Q: Present a quadratic equation in the form ax2 + bx + c = 0 where a > 1. •How many solutions does…

A: Here is the solution

Q: The solutions of a quadratic equation in the general form ax2 + bx + c = 0, a ≠ 0, are given by the…

A: The solutions of a quadratic equation in the general form ax2 + bx + c = 0, a ≠ 0, are given by the…

Q: What error did this person make while solving the equation using the quadratic formula? 3x2 +4x +2=0…

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Q: When deriving the Quadratic Formula, we start with the general equation for a quadratic: az? + bx +c…

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