Question

If one zero of quadratic polynomial is 2x^2 - 8x - m is 5/2 the other zero is

Answer 1

sum of zero = -b/a
let the second zero be p
(5/2)+p=-(-8)/2
=4
p=4-(5/2)
p=3/2
so the second root is 3/2
product of root =c/a
so (5/2)(3/2)=-m/2
m=-15/2
hope it helps

Answer 2

Given:

A Quadratic equation 2x^2 - 8x - m = 0. The value 2.5 is one of the roots of the given quadratic equation.

To Find:

The value of m.

Solution:

The given problem can be solved using the concepts of Quadratic equations.

1. The given quadratic equation is$2x^2 - 8x - m =0.$ (5/2) is one of the roots of the given quadratic equation.

2. Consider a quadratic equation,$ax^2+ b x + c=0,$ let the roots of the quadratic equations be e,f. According to the concepts of quadratic equations, when the values e,f are submitted in the quadratic equation the value equals zero which implies that e,f are the zeroes of the given quadratic equation.

3. As 5/2 is one of the zeroes, when 5/2 is substituted in the quadratic equation the value equals 0,

=> 2 x (25/4) - 8 x (5/2) -m =0,

=> (25/2) -20 -m =0,

=> m = (25/2) - (40/2),

=> m = (15/2).

Therefore, the value of m is 15/2.