a) Find the solutions to the quadratic equation x2 b) Find the roots of the quadratic equation (2x + 4)² = 5 144 = 0 %3D

Q: 17. x2 = 3x – 1 %3D

A:

Q: Show that in general , the sum of the roots of a quadratic equation ax2 + bc +c =0 is - b/a whereas…

A:

Q: Find, in its simplest form, the quadratic equation with the following pair of solutions: 3/5 ± 3i

A: Given: The solutions of the quadratic equations are 35±3i. To find: Quadratic equation having the…

Q: Substitute a, h, and k into the vertex form of a quadratic equation.

A: We know that the vertex, (h, k) of a parabola is a point where is minimum or maximum.  The vertex…

Q: use the quadratic formula to solve each of the quadratic equations. 2a2 - 6a + 1 = 0

A: Given: 2a2-6a+1=0 Quadratic formula: a=-b±b2-4ac2a

Q: 1. Find the quadratic equation whose roots are a + and B + where a and B are roots of the quadratic…

A: Consider the given quadratic equation having roots α and β is  2x2+7x-3=0 Here, the objective is to…

Q: 7. Given that a and B are the roots of the quadratic equation x? + px + 8 = 0 while 2a and 2ß are…

A:

Q: In order to solve x2 = 4x + 1 by the quadratic formula, we use a =________ , b =________ , and c…

A:

Q: Given the quadratic equation 3x+6=−6x2 A) Determine the value of the discriminant…

A:

Q: 9. The value of q will make the roots of quadratic equation 9x²-4qx+4=0 be equal are A.0 B. q-3,-3…

A:

Q: I had a question regarding the quadratic formula. Based on the equation x = [-b +/- sqrt(-b^2 -…

A: As we are discussing about quadratic equations and of we want to determine equation have infinite…

Q: 1-Find the solution of the following quadratic equation using the general (distinct) equation: x2 +…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Write a quadratic equation having the given solutions. 11, 4. |%3D0 (Type an equation whose terms…

A:

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

A:

Q: The solutions of the equation 4 = x + 8 are x = 3 and x = -4. Determine the value of m. x+m

A: The root of an equation must satisfy the equation. If x=a is the root of the equation f(x)=0, then…

Q: the method of completing the square to solve the quad 3x – 7 = 0, which number would have to be…

A: In this question we will use basic of algebra i.e solution of quadratic equation by completing…

Q: The value of a for which one root of the quadratic equation (a? – 5a + 3) x² + (3a – 1) x + 2 = 0 is…

A: Introduction :

Q: Question 3 Solve by completing the square to obtain exact solutions. x<+ 8x = 3 -4 19 -4 = 219 4 +…

A: Option 1 is correct.

Q: Given that a+1 and ß+1 are roots of the quadratic equation 2x* – bx-2 = 0 , and that the two roots…

A:

Q: & and ß are the roots of a quadratic equation such that a + B = 2 and aß =. The value 3. *of a' + B?…

A: we have to find the following

Q: 12a +3a=7

A: Given Data: Equation: 12a2+3a=7 Factorize the equation. 12a2+3a=712a2+3a-7=0 This can be solved by…

Q: Given the roots are: z 8 ± 2i, write the quadratic equation, by correctly filling in the blanks.…

A:

Q: When completing the square for the quadratic equation shown below, how is c calculated?

A: Our Aim is to show how c is calculated when completing the square for thequadratic equation…

Q: Find coefficients a, c where the quadratic equation with a complex solution. 2² + 8x + = 0

A:

Q: 1. Solve the following quadratic equation by completing the square: x2 – 6x +4 = 0

A: We are authorized to answer one question at a time , since you have not mentioned which question you…

Q: - Solve the quadratic equation x2 + 12x + 8 = 0 by completing the square. Select Yes or No to to…

A: Givenx2+12x+8=0

Q: Find all the solutions of the Diophantine equation 25x + 55y 50 %3D

A:

Q: 3. Use Cardano's method to solve the equation x3 – 6x – 9 = 0. Write the roo in rectangular form. |

A:

Q: se the quadratic formula 7x*-3x%3D3

A: Given quadratic equation is, 7x2-3x=3.

Q: 2. Explain how you would use each method to solve the equa- tion x? – 4x – 5 = 0. (a) By factoring:…

A: The solution of the quadratic equation of the form ax2+bx+c=0 can be calculated by using integer…

Q: Solve the equation 2w If there are more than one solutions, separate them by a comma. 16w = – 12 by…

A:

Q: In examining the quadratic formula, explain in detail what is the discriminant of the formula and…

A:

Q: Solve /5a + 24 — г.

A:

Q: Find all the solutions of the Diophantine equation 25x + 55y = 50 %3D

A: Given equation is                                                          25x+55y=50 it can be…

Q: .State the Quadratic Formula for the quadratic equation ax? + bx + c = 0, and use it to solve the…

A: We have to solve the quadratic equation x2+6x-1=0 by using the quadratic formula.

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: ) By completing the square,solve the quadratic equation 4.6y² +3.5y-1.75 = 0 correct to 3 decimal…

A: This is a problem of quadric equation. First we will convert given equation into simple form and…

Q: Solve the quadratic equation by completing the square. x+6x+3 =0 First, choose the appropriate form…

A: Given: To solve: The given quadratic equation by using the complete square.

Q: Solve for the discriminant of the following quadratic equation and determine the nature of its roots…

A: 1.3x2-6x=52. 36-12x+x2=0

Q: The base of a triangle is x cm long and it's altitude is quarter the length of its base. if the…

A: It is given that, base of triangle=x cm               Its altitude=base of triangle4=x4cm      Area…

Q: 17 Solve the equati 17y²=44-9

A: Given equation:- y2 =4y-9

Q: Use the techniques presented in this section to find all solutions of the given equation   8x3 +…

A: Given: 8x3+12x2+150x+25=0 To Find: All solutions of the given equation. Concept: if…

Q: 32. Find the discriminant of the equation and give the number and type of solutions of the equation.…

A: Discriminant of a quadratic equation ax2 + bx +c =0 is…

Q: use the quadratic formula to solve each of the quadratic equations. a2 - 8a = 4

A: a2 - 8a = 4The quadratic formula takes an equation of the form  ax2+bx+c=0  and gives usthe…

Q: Solve the quadratic equation by completing the square. +18x+ 66 = 0 First, choose the appropriate…

A: solution is given  below

Q: Write a quadratic equation in the form ax2+bx+c=0, if it has these solutions:  −5+5i and  −5−5i…

A:

Q: it is given that α and β are the roots of quadratic equation 2x^2-5x+6=0.Form a quadratic equation…

A:

Q: 4 Solve each equation by completing the square. 26. x2 – 4x + 12 = 0 27. x² + 2x – 12 = 0 28. x² +…

A: Given: x2+6x+8=0