Question

How do you solve `x^2= 14x + 5`?

Answer 1

See below.

Explanation:

`x^2=14x+5`

`x^2-14x-5=0`

Since we cannot factor this, we must use the quadratic formula.

`x=\frac(14\pm\sqrt(196+20))(2)=\frac(14\pm\sqrt(216))(2)=\frac(14\pm6\sqrt(6))(2)=7\pm3\sqrt(6)`