Question

Solve the equation by using the quadratic formula. x^2+2x=6​

Answer 1

Answer:

$\Huge \boxed{{x=-1\pm \sqrt{7}}}$

Step-by-step explanation:

x² + 2x = 6

Subtract both sides by 6.

x² + 2x - 6 = 0

ax²+bx+c=0

a=1, b=2, and c=-6

We can apply the quadratic formula.

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plug in the values.

$\displaystyle x=\frac{-2\pm\sqrt{2^2-4(1)(-6)}}{2(1)}$

Evaluate.

$\displaystyle x=\frac{-2\pm\sqrt{4-(-24)}}{2}$

$\displaystyle x=\frac{-2\pm\sqrt{28}}{2}$

$\displaystyle x=\frac{-2\pm 2\sqrt{7}}{2}=-1 \pm \sqrt{7}$