Find the quadratic equation whose roots are three times the roots of 3x2 +2x+3=0.

Q: find the quadratic equation that goes through the points (2,-4), (3,-4), (0,2)

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

A:

Q: Find the quadratic equation if the roots are 3 and - 4.

A: Quadratic equation with roots a and b is x2-(sum of the roots)x + product of the roots =0…

Q: If using the method of completing the square to solve the quadratic equation x2 + 15x + 4 = 0, which…

A: Try to write in square form and solve

Q: Solve by using the quadratic formula.

A: To solve the given equation.

Q: Solve for the roots in simplest form using the quadratic formula: 12x = -20

A:

Q: If using the method of completing the square to solve the quadratic equation x2 - 19x + 23 = 0,…

A: Consider the given expression. x2-19x+23=0

Q: Construct an equation whose roots are the reciprocal of the roots of 2x +4x -10x-5=0

A: Consider a cubic equation ax3+bx2+cx+d=0 where a≠0 and assuming α,β and γ are roots of equation then…

Q: 2x2 – x = 3

A: Solve equation

Q: If using the method of completing the square to solve the quadratic equation x2 - 15x - 23 = 0,…

A: The given equation is, x2-15x-23=0. Rewrite the given equation by keeping x terms in the left side…

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

A:

Q: If using the method of completing the square to solve the quadratic equation x2 + 17x + 3 = 0, which…

A: Given,

Q: Determine the nature of the roots of each quadratic equation using only the discriminant (DO NOT…

A:

Q: Solve 2x² – 8x + 3 = 0 using quadratic formula method. Round off your answer to the nearest…

A: The solution to the quadratic equation ax2+bx+c=0 is calculated using the quadratic formula: x1,…

Q: Write the guadratic equation whose rootsS are –6 and 2, and whose leading coefficient Is (Use the…

A: Solution: Given roots -6 and 2, and the leading coefficient is 1

Q: The equation x-7x²+ 14x² +2x-20=0 has how many roots?

A: we have to apply properties of polynomials to solve the question

Q: Write the quadratic equation whose roots are 6 and 1, and whose leading coefficient is 3.

A: Since the roots are 1 and 6. That means, x=1⇒x-1=0And,x=6⇒x-6=0 Therefore, a polynomial with leading…

Q: If the discriminant of a quadratic equation is 4, then the equation has

A:

Q: Determine the quadratic equation whose one root is 3 and the product of the roots is 36.

A: Topic = Quadratic equation

Q: Solve by using the quadratic formula: 3x2 – 2x + 2 = 0

A:

Q: If using the method of completing the square to solve the quadratic equation x2 + 15x + 4 = 0, which…

A:

Q: Identify value of a, b and c in quadratic equation. 4xsquared-3x-7=0

A: Given equation is,

Q: Solve for the roots  3x3-11x2+5x+3

A: We have to find the roots of the polynomial 3x3−11x2+5x+3. For the roots of the polynomial, solve…

Q: If using the method of completing the square to solve the quadratic equation x2 + 5x + 10 = 0, which…

A:

Q: If using the method of completing the square to solve the quadratic equation x² + 3x + 21 0, which…

A:

Q: Change the quadratic equation to standard form if necessary and then solve by factoring. 12x2+48x…

A:

Q: If using the method of completing the square to solve the quadratic equation x2 + 13x + 15 = 0,…

A: Consider the quadratic x2+13x+15=0.

Q: Solve by using the quadratic formula.

A: We have to solve this equation by quadratic formula   the given equation is  3x2+5x+1=0

Q: Find the equation of the quadratic function in factored form that has roots 3 and -1 and passes…

A: equation of quadratic function in factored form that has roots a and b is : y=C(x-a)(x-b) here C is…

Q: Determine the nature of the roots of each quadratic equation using only the discriminant (DO NOT…

A:

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: Find the roots of the equation using the quadratic formula 7x² + 3x-1=0

A: The given equation is 7x2+3x-1=0. We have to find roots of the equation using quadratic formula.…

Q: Write the quadratic equation whose roots are 3 and -4, and whose leading coefficients is 3.

A: We know, the quadratic equation whose roots are x1 and x2, and whose leading coefficient is a is…

Q: solve without using the quadratic formula (x-4)(2x+3) = 0

A:

Q: Solve for the roots in simplest form using the quadratic formula: 4x2 + 4x = 3 %3D

A:

Q: Solve 2x2 – 8x + 3 = 0 using quadratic formula method. Round off your answer to the nearest…

A: We have to find the solutions

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

A:

Q: Solve for the roots in simplest form using the quadratic formula: 2x2 – 22 = 16x

A: Given :             The equation is 2x2 - 22 = 16x   To solve for the roots of 2x2 - 22 = 16x…

Q: 4. Determine the roots of the equation x + 2x - 15. x + 2x = 15

A: Here, to determine the roots of the equation: x2+2x=15...(1)

Q: The equation x - 4kx + 10 – 6k = 0 will have two equal roots if the value of k is:

A:

Q: Use the quadratic formula to solve for x: 3x2 - 5x = -4 Express your answer in imaginary form if…

A: Given equation is  3x2-5x=-43x2-5x+4=0

Q: The equation of whose roots are the reciprocal of the roots of 2x² - 3x-5 = 0 is?

A: We know that if α, β are the roots of the equation ax2+bx+c = 0, then the equation with roots 1α, 1β…

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

A: we have to find the quadratic equation

Q: If using the method of completing the square to solve the quadratic equation - 15x + 22 = 0, which…

A: ⇒x2-15x+22=0 In order to complete the square, we need to find the last term. Last term =(Middle…

Q: describe the nature of the roots of the equation 5x2+x=-4?

A:

Q: Write the quadratic equation in standard form: –7x – 4 = –3x² - |

A: The standard form of a quadratic equation is as follows: ax2 + bx + c = 0 Where a, b, and c are…

Q: Solve for the roots in simplest form using the quadratic formula: x2 + 75 = -20x

A: the solutions are, x = - 5, - 15 The detailed solution is as follows below: