I had a question regarding the quadratic formula. Based on the equation x = [-b +/- sqrt(-b^2 - 4ac)]/2a , how are we able to determine whether said equation has infinite roots,two roots, etc. What component of the equation would be looking at in particular?

Q: Form a quadratic equation with roots 1/5 and −2 with integer coeffecients.

A: 15 & -2.

Q: Explain how to solve x2 + 6x + 8 = 0 using the quadratic formula.

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Q: Find the roots of 2x2-2(√2x) +1=0,If they  exist using quadratic formula

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Q: If a quadraticequation has two distinct real roots, what does this say about its discriminant?

A: correct ans is C. for real and district root,discriminant must be graterthan zero.

Q: Why do we take square roots of both sides of the equal sign when solving quadratics

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Q: Show that the product of the roots of a quadratic equation is c/a .

A: Consider the quadratic equation ax2+bx+c=0 Also consider that α and β are the roots of the quadratic…

Q: Find the discriminant of the quadratic equation and describe the number and type of solutions of the…

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Q: what are general quadratic equations ?

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Q: Find the roots of x+2x+5=0 by using quadratic formula.

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Q: Do all polynomial equations have at least one imaginary root?

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Q: Determine the roots of the equation by factoring 3x2 – x – 4 = 0. Verify the roots and be sure to…

A: Factoring the quadratic equation can be defined as the process of breaking the equation into the…

Q: True or False If the discriminant of a quadratic equationis positive, then the equation has two…

A: Solution of an equation f(x)=0 is the value of x which when substituted in the equation satisfies…

Q: What is formula of quadratic equation?

A: We have to write the formula of quadratic equation. Definition of the quadratic equation:- The…

Q: When can the square root property be used to solve a quadratic equation?

A: Square root property can be used when the quadratic equation is a perfect square. That is, when the…

Q: What are the roots of the equation 2x² + 11x = -20 in simplest a + bi form?

A: In the question it is asked to calculate the roots of 2x2+11x=-20 and express the complex roots in…

Q: solve using the quadratic formula

A: We need to solve the quadratic equation.

Q: Find real solution if any using quadratic formula .  8x2  -x+4=0

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Q: Use the quadratic formula to solve 8x2 − 4 = 0. (Round your answers to two decimal places.)

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Q: How can I solve X2-2X-1, I need to use the quadratic formula but im not sure how to do so?

A: Compare x^2-2x-1=0 with ax^2+bx+c=0So, a=1, b=-2 and c=-1

Q: quadratic equation has two distinct real roots, what does this say about its discriminant?

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Q: What is quadratic equations?

A: We have to define the quadratic equations. Quadratic equations are the equations in one variable…

Q: Write a quadratic equation (in standard form) with roots 3+/2 2 3 - V2 and 2 As always, please show…

A: Authoring guidelines:…

Q: Write a quadratic equation in standard form with roots -- and 2 and passing through the point (0,…

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Q: How is the quadratic formula derived?

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Q: When a quadratic equation has a repeated solution, it is called a(n) _______  root or a root of…

A: When a quadratic equation has a repeated solution, it is called a(n) _______  root or a root of…

Q: What is a quadratic equation?

A: Quadratic equation: An equation equation is in the form ax2+bx+c are termed as a quadratic equation.…

Q: What are the roots of the equation 4x² = 8x – 9 in simplest a + bi form? -

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Q: etermine the roots of the quadratic equation -5x+ 55r - 50-

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Q: Show complete solution. Solve for the roots using algebraic method. 3x³-11x² + 5x+3

A: Solve: For the roots of 3x3-11x2+5x+3 using algebraic method.

Q: What is Relationship between the Coefficients and Roots of a Quadratic Equations?

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Q: why does the cube root of (-x) equal - cube root of (x)?

A: Why does -x13=-x13

Q: 16. Find the discriminant of x-4x + 6- 0.

A: This question is based on Quadratic equation.

Q: 15. x2 - 16x + 10 = 4x?

A:

Q: 10 -10 -5 10 -5 -10

A: If the graph of the quadratic function crosses the x-axis at two points then we have two solutions.…

Q: Why do we need zero on one side of a quadratic equation to solve theequation?

A: An equation is an equality with the algebraic terms involving different powers of the independent…

Q: Consider the quadratic equation 2x-7x+3=0 What is the discriminant of the above equation? No real…

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Q: find the quadratic equation with integral coefficients whose roots are 0 and -7.

A: we have to find the quadratic equation

Q: Pose a real-life problem that requires to solve a degree 3 polynomial equation. Solve the problem.

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Q: Create three quadratic equations: one having two distinct solutions, one having no real solution,…

A: Consider the quadratic equation x2+x-12=0. The discriminant of this quadratic equation is…

Q: Write the quadratic formula root [-6+v6? – 4ac]/(2a) in a form so that there are no serious problems…

A: Given: The quadratic formula root, -b+b2-4ac2a b is positive and very large compared to ac. Find:…

Q: An equation with real coeticients has (-0, 3, and 4 among its roots. What is the lonest possible…

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Q: If the discriminant of a quadratic equation is greater than zero, the roots of the equation are:…

A: The polynomial equation whose highest degree is two is called a quadratic equation. The discriminant…

Q: What is the quadratic formula? Start with x=

A: Quadratic formula is used to find the solution if a quadratic equation of type ax2+bx+c=0.

Q: What is the number of real roots of the equation 2x + 3x =- 4?

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Q: This equation is not quadratic, because it contains a term involving x³. However, we can solve it by…

A: The zeroes of a function in a variable are the values of the variable at which the value of the…

Q: What are the roots of the equation 4x² = 5x – 3 in simplest a + bi form?

A: Given : 4x2 = 5x-3