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RUDIKE [14]
3 years ago
12

What is the solution set of –|x| = –8?

Mathematics
1 answer:
valentinak56 [21]3 years ago
4 0
8 or -8 either is true
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The square of a number decreased by 3 times the number 28 find all possible values for the number
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Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number  

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The possible values of number are 7 and -4

Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

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\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0

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\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}

Thus the possible values of number are 7 and -4

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