Question

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

Answer 1

The solutions for the equation
`x^2\:-\:27=\:67` are
`x=√(94),\:x=-√(94)`.

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=√(f\left(a\right)),\:\:-√(f\left(a\right))\\\\x=√(94),\:x=-√(94)`