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Stella [2.4K]
3 years ago
13

140 subtracted from the square of a number the result is three times the number find the negative solution

Mathematics
1 answer:
natima [27]3 years ago
5 0

Answer:

Suppose~that~the~number~is~x.\\According~to~question,\\x^2-140=3x\\or, x^2-3x-140=0\\From~the~quadratic~formula,\\x = \frac{-(-3)+\sqrt{(-3)^2-4(1)(-140)} }{2(1)} ~and ~x= \frac{-(-3)-\sqrt{(-3)^2-4(1)(-140)} }{2(1)} \\or, x = \frac{3+\sqrt{9+560} }{2}~and~x=\frac{3-\sqrt{9+569} }{2}\\or, x = \frac{3+\sqrt{569} }{2}~and~x=\frac{3-\sqrt{569} }{2}\\So,~the~required~negative~number~is~\frac{3-\sqrt{569} }{2}.

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Step-by-step explanation:

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3 years ago
an angle measures 27.4 more than the measure of its complementary angle what is the measure of each angle
Arisa [49]

Hello!

<h2>31.3° and 58.7°</h2><h2></h2>

To solve, we can set up an algebraic expression.

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∠1 = x

∠2 = x + 27.4°

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