Question

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

x = +27
Ox= +63
x = +7/2
no real solution

Answer 1

`\huge \boxed{{x = \pm 7√(2) }}`

Explanation:

`98-x^2 =0`

`\sf Add \ x^2 \ to \ both \ sides.`

`98=x^2`

`\sf Take \ the \ square \ root \ of \ both \ sides.`

`\pm √(98) =x`

`\sf Simplify \ radical.`

`\pm √(49) √(2) =x`

`\pm 7√(2) =x`

`\sf Switch \ sides.`

`x= \pm 7√(2)`

Answer 2

±7 sqrt(2) = x

Explanation:

98 - x^2 = 0

Add x^2 to each side

98 =x^2

Take the square root of each side

±sqrt(98) = sqrt(x^2)

±sqrt(49*2) = x

±7 sqrt(2) = x