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Amanda [17]
3 years ago
13

Solve x2 − 7x = −13.

Mathematics
1 answer:
Ket [755]3 years ago
6 0

Answer:

\frac{7+\sqrt{-3} }{2} \\\\\frac{7-\sqrt{-3} }{2}

Step-by-step explanation:

<u>Step 1:  Use the Quadratic formula to solve</u>

<u />x^2 - 7x = -13

x^2 -7x+13 = -13 +13

x^2-7x+13=0\\

\frac{-b+\sqrt{b^2-4ac} }{2a} \\\frac{-b-\sqrt{b^2-4ac} }{2a}

\frac{-(-7)+\sqrt{(-7)^2-4(1)(13)} }{2(1)} \\\frac{-(-7)-\sqrt{(-7)^2-4(1)(13)} }{2(1)}

\frac{7+\sqrt{49-52} }{2} \\\\\frac{7-\sqrt{49-52} }{2}

Answer:  \frac{7+\sqrt{-3} }{2} \\\\\frac{7-\sqrt{-3} }{2}

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