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xxTIMURxx [149]
3 years ago
7

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. the square of a num

ber increased by 5 times the number is equal to 176. find the number. the number is
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0
Let,
The number be "x"

According to the question,

x² + 5x = 176
x² + 5x - 176 = 0
x² + 16x - 11x - 176 = 0
x (x + 16) - 11 ( x + 16) = 0
(x + 16) (x - 11) = 0

Now,
Using zero product property:

Either,
x + 16 = 0
x = -16

Or,
x - 11 = 0
x = 11

So,
The number is either "-16" or "11".


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Answer:

XQ = 12

Step-by-step explanation:

In this question it asks for XQ instead of x, but you need to find x first.

1. Find x.

XQ is half of MQ so this statement is true: 3x - 3 = 2(2x - 6)

Solve for x.

3x - 3 = 2(2x - 6)

Distribute 2.

3x - 3 = 4x - 12

Isolate x.

3x = 4x - 9

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Divide -1 out.

x = 9

Now solve for XQ, which the equation is given.

XQ = 2(9) - 6

XQ = 18 - 6

XQ = 12

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