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

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 = (-b\pm√(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 = (-0\pm√(0^2-4(-1)(98)))/(2(-1))`

or

`x = (\pm √(4 \cdot (98)))/(-2)`

Simplify:

`x = \pm √(98)= \pm 7√(2)`

Therefore, the solutions of the given quadratic equation are;

`7√(2)`,
`-7√(2)`