Question

Solve the equation using the quadratic formula -x^2+27=6x

Answer 1

$-x^{2}+27=6x\\-x^{2}-6x+27=0$

Quadratic formula

$\frac{-(-1)±\sqrt{6^{2}-4(-1)(27)}}{2(1)}$

$\frac{1±\sqrt{36+108}}{2}$

$\frac{1±\sqrt{144}}{2}$

$\frac{1±12}{2}$

$\frac{1+12}{2}=\frac{13}{2}=6.5\\\\\frac{1-12}{2}=\frac{11}{2}=-5.5$

6.5 or -5.5

Answer 2

The answer is:

X= -9, 3