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3 years ago

I need help solving this. Help!!!!!

Mathematics

1 answer:

Fed [463]3 years ago

3 0

Answer:

Step-by-step explanation:

MPQ + QPN = MPN

9x-6 + 5x+7 = 85

Combine like terms

14x+1 = 85

Subtract 1 from each side

14x+1-1 = 85-1

14x = 84

Divide by 14

14x/14 = 84/4

x=6

We want MPQ

MPW = 9x-6 = 9*6 -6 = 54-6 =48

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By the quadratic formula,

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Then

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$\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}$

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$\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15$

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