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ddd [48]
3 years ago
6

Which are solutions of x2 + 5x = 2? Check all that apply.

Mathematics
2 answers:
Maksim231197 [3]3 years ago
8 0

The last two are correct. So 4 and 5!

ANEK [815]3 years ago
7 0

we have

x^{2} +5x=2

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

x^{2} +5x+2.5^{2}=2+2.5^{2}

x^{2} +5x+6.25=2+6.25

x^{2} +5x+6.25=8.25

Rewrite as perfect squares

(x+2.5)^{2}=8.25

Square Root both sides

(x+2.5)=(+/-)\sqrt{8.25}

x=(+/-)\sqrt{8.25}-2.5

\sqrt{8.25}=\frac{\sqrt{33}}{2}

substitute

x=(+/-)\frac{\sqrt{33}}{2}-2.5

therefore

<u>the answer is</u>

the solutions are

x1=-2.5+\frac{\sqrt{33}}{2} or x1=\frac{-5+\sqrt{33}}{2}

x2=-2.5-\frac{\sqrt{33}}{2} or x2=\frac{-5-\sqrt{33}}{2}

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We can infer from our problem that the real part of our complex number is 3 and its imaginary part is 3i. We are going to keep the real part 3 and change the imaginary part from positive to negative, so our conjugate is 3-3i.

Next, we are gong to multiply both the complex number and its conjugate using the distributive property:

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