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Georgia [21]
3 years ago
8

the sum of the measurement of two angles is 183.61 angle one has a measure of 54 what is the measure in degrees of the second an

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Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0
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H(x) = x4+ 2x3- 10x2 -18x+9
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Let's group the cubic function: h(x)=x^4+2x^3-10x^2-18x+9=(x-3)(x+3)(x^2+2x-1).

The first two roots are \pm3 however to find the last two roots we need to solve the square equation:

x^2+2x-1=0
\\D=b^2-4ac=2^2-4\cdot1\cdot(-1)=8. Now we know the discriminator, using the discriminator we're able to find the roots of the equation: x_{1,2}=\frac{-b\pm\sqrt{D}}{2a}=\frac{-2\pm\sqrt{8}}{2}=\frac{-2\pm2\sqrt{2}}{2}=\frac{2(\sqrt{2}\pm1)}{2}. The roots of the square equation are x_{1}=-1-\sqrt{2} and x_{2}=\sqrt{2}-1.

The roots of the cubic function are \pm3, -1-\sqrt{2} and \sqrt{2}-1.
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