Suppose the new quadratic g(x) = x + px + q has the roots y = a+B and & = + %3D %3D Find the coefficients p and q of the new quadratic correct to 2 decimal places.

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: If the sum of the roots of the equation 1/(x+ a) + 1/(x + b) = 1/c is zero, then prove that the…

A:

Q: Match the items in colu A wh the equations of the quadratie fnctions in oolum Column A Colume A…

A:

Q: state nature of roots of 2x - 4x +3 = 0 %3D

A:

Q: If the roots of the equation a(b - c)x² +b(c - a)x + c (a - b)=0 2 _ 1 ,1. are equal, show that а с

A:

Q: Use the method of completing the square to transform the quadratic equation into the equation form…

A: First Make the coefficient of x^2 unity and then add and subtract the square of 1/2 of coefficient…

Q: Find the negative real root of  x3 + ebx - cx = 0  if b = 2 and c = 10 using bisection method with…

A: Bisection Method: Firstly, find points a and b such that a<b and fa·fb<0. Now take the…

Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 are equal, show that 2/b = 1/a + 1/c.

A:

Q: Make each of the following into a perfect square. 1. x^2 - 5x/2 + __ 2. 4x^2 + 16x + __

A:

Q: 2, i, Find out the roots of the following by completing the square. 5x^2-2х-4-0

A: To Find: the roots of the following by completing the square: 5x2-2x-4=0.

Q: raph the quadratic function given in standard form

A: given vertex given ( -2 , -1 )

Q: Please find the roots of the equation f(x) = 3e-x - 4x + 1 using Bisection and False-Position…

A: Answer is mentioned below

Q: Rationalize the denominator of 5/(square root of 14) - 2

A: We need to rationalize the denominator of

Q: Find the 3 roots of the equation x3-1.25x+25 using BAIRSTOWS Method.

A:

Q: 2x2 + 3х- 5%3 0

A:

Q: Choose only one method under the LU Factorization Method to find the roots of the following set of…

A: