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WARRIOR [948]
3 years ago
9

Solve the equation. x2 + 8x − 9 = 0 A) x = 1 B) x = 9 C) x = 9 or x = −1 D) x = −9 or x = 1

Mathematics
2 answers:
yarga [219]3 years ago
7 0

Answer:D. X= -9 or x= 1

X2 + 8x - 9 = 0

iris [78.8K]3 years ago
4 0

Answer:

x=1 or x=-9

Step-by-step explanation:

x^2 + 8x − 9 = 0 (8x=9x-x)

x^2 - x+9x-9=0

x(x-1)+9(x-1)=0

(x-1)(x+9)=0

x-1=0 or x+9=0,then

x=1 or x=-9

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5x3 + 14x2 + 9x <br> help
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<h3>Answer:    x(x+1)(5x+9) </h3>

===================================================

Work Shown:

5x^3 + 14x^2 + 9x

x( 5x^2 + 14x + 9 )

To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.

A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(14)\pm\sqrt{(14)^2-4(5)(9)}}{2(5)}\\\\x = \frac{-14\pm\sqrt{16}}{10}\\\\x = \frac{-14\pm4}{10}\\\\x = \frac{-14+4}{10} \ \text{ or } \ x = \frac{-14-4}{10}\\\\x = \frac{-10}{10} \ \text{ or } \ x = \frac{-18}{10}\\\\x = -1 \ \text{ or } \ x = \frac{-9}{5}\\\\

Then use those two solutions to find the factorization

x = -1  or  x = -9/5

x+1 = 0  or  5x = -9

x+1 = 0  or  5x+9 = 0

(x+1)(5x+9) = 0

So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)

-----------

Overall,

5x^3 + 14x^2 + 9x

factors to

x(x+1)(5x+9)

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