Question

What are the solution(s) of the quadratic equation 98 – x2 = 0?

Answer 1

X^2 - 98 = 0
x = 9.8995 , x = - 9.8995

Answer 2

Answer:

A quadratic equation is of the form of $ax^2+bx+c =0$.....[1] where a, b and c are coefficient then, the solution is given by;

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Given the quadratic equation: $98 -x^2=0$

On comparing the given equation with equation [1] we have;

a = -1 , b = 0 and c =98

then;

Substitute the given values we have;

$x = \frac{-0\pm\sqrt{0^2-4(-1)(98)}}{2(-1)}$

or

$x = \frac{\pm \sqrt{4 \cdot (98)}}{-2}$

Simplify:

$x = \pm \sqrt{98}= \pm 7\sqrt{2}$

Therefore, the solutions of the given quadratic equation are;

$7\sqrt{2}$,  $-7\sqrt{2}$