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sertanlavr [38]
3 years ago
11

Sail with the equation by completing the square x^2+8x=-3

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

The solutions are x=-4(+/-)\sqrt{13}

Step-by-step explanation:

we have

x^{2} +8x=-3

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} +8x+16=-3+16

x^{2} +8x+16=13

Rewrite as perfect squares

(x+4)^{2}=13

square root both sides

x+4=(+/-)\sqrt{13}

x=-4(+/-)\sqrt{13}

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