Solve for all real values of x.

x, squared, minus, 100, equals, 0
x
2
−100=
0

Solve the problem just like the example below
⬇️
Solve for all real values of x

x² - 16 = 0
+16. +16

x²=16

√x² = ± √16

x= ± 4

Solutions: x=4, x=-4

1 answer

Sure! Let's solve the equation \( x^2 - 100 = 0 \) step by step, following the format you've provided.

Solve for all real values of x

\[ x^2 - 100 = 0 \] \[ +100 \quad +100 \] \[ x^2 = 100 \] \[ \sqrt{x^2} = \pm \sqrt{100} \] \[ x = \pm 10 \]

Solutions: \( x = 10, ; x = -10 \)