Question

Solve for the equation for all x values by completing the square x^2 - 27= 67

Answer 1

Answer:

The solutions for the equation $x^2\:-\:27=\:67$ are $x=\sqrt{94},\:x=-\sqrt{94}$.

Step-by-step explanation:

To find the solutions for the equation $x^2\:-\:27=\:67$ you must:

$\mathrm{Add\:}27\mathrm{\:to\:both\:sides}\\\\x^2-27+27=67+27$

$\mathrm{Simplify}\\\\x^2=94$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{94},\:x=-\sqrt{94}$