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kykrilka [37]
3 years ago
10

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

Mathematics
1 answer:
katrin [286]3 years ago
6 0

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}

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