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Novosadov [1.4K]
3 years ago
7

Find two consecutive odd integers such that the square of the first, added to 3 times the second is 24.

Mathematics
1 answer:
OLEGan [10]3 years ago
3 0
X^2+3(X+2)=24
X^2+3x+6-24=0
X^2+3x-18=0
(X+6)(X-3)
X+6=0. X-3=0
X=-6. X=3

. Only 3 and 5 must be a odd integer
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Answer:

x intercept is (45/2,0)

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Step-by-step explanation:

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slope = \frac{y_2-y_1}{x_2-x_1} =\frac{12-20}{15- 10} = \frac{-8}{5}

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now we find out b using (10,20)

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Now we find x  intercept

equation of line is y=mx+b that is y = \frac{-8}{5}x+36

To find x intercept plug in 0 for y

0= \frac{-8}{5}x+36

subtract 36 on both sides

-36= \frac{-8}{5}x

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-36*\frac{-5}{8}=x

\frac{45}{2}=x

x intercept is (45/2,0)


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