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Genrish500 [490]
3 years ago
10

Solve the inequality

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0
The answer would be

-3 ≤ x ≤ 5

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Polynomial with real coefficients always has even number of complex roots. We know that one of them is 2 + 5i so the second one will be  2 - 5i and:

f(x)=\big(x-4\big)\big(x-(-8)\big)\big(x-(2+5i)\big)\big(x-(2-5i)\big)=\\\\=(x-4)(x+8)(x-2-5i)(x-2+5i)=\\\\=(x^2-4x+8x-32)(x^2-2x+5ix-2x+4-10i-5ix+10i-25i^2)\\\\=\big(x^2+4x-32\big)\big(x^2-4x+4-25\cdot(-1)\big)=\\\\=(x^2+4x-32)(x^2-4x+29)=\\\\=x^4-4x^3+29x^2+4x^3-16x^2+116x-32x^2+128x-928=\\\\=\boxed{x^4-19x^2+244x-928}

Answer B.
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the length of one leg of a right triangle is 6 feet. the length of the hypotenuse is 2 ft longer than the other leg. Find the le
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Use the Pythagorean theorem which is A²+B²=C².

So we know the first side is 6 so plug that into the equation which would now be 6²+B²=C².

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This gives us B=8.

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