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yaroslaw [1]
3 years ago
6

Solve by factoring. x2 + 6x = - 9. Hint: This is a double root.

Mathematics
2 answers:
lutik1710 [3]3 years ago
6 0
Subtract -9 from both sides.

x2+6x−(−9)=−9−(−9)

x2+6x+9=0

Factor left side of equation.

(x+3)(x+3)=0

Set factors equal to 0.

x+3=0 or x+3=0

x=−3

Answer:

x=−3

Doss [256]3 years ago
3 0
1
 Move all terms to one side

x^2+6x+9=0

2 
Rewrite x^2+6x+9 in the form a^2+2ab+b^2 , where a=x<span> and </span><span>b=3

x^2+2(x)(3)+3^2=0

</span>3 
Use Square of Sum (a+b<span>)^2=a^2+2ab+b^2

</span><span><span><span><span>(x+3)</span><span><span>​^2</span><span>​​</span></span></span>=0
</span>
4 
Take the square root of both sides

<span>x+3=0

</span>5 
Subtract 3 from both sides

<span><span>x=−3
</span><span>
So, in short, your answer is x = - 3


I hope this helps, and have a great day. :)

</span></span><span>

</span>
</span>
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Solve: |x+2|=3<br><br> Can someone explain how to do this
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Hey there!

ORIGINAL EQUATION:
|x + 2| = 3

TRANSLATE:

x + 2 = 3 or x + 2 = -3


SOLVING for: x + 2 = 3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = 3 - 2

CANCEL out: 2 - 2 because it give you 1

KEEP: 3 - 2 because help solve for the current x-value

NEW EQUATION: x = 3 - 2

SIMPLIFY IT!
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Thus, your answer is: x = 2

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\


SOLVING for: x + 2 = -3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = -3 - 2

CANCEL out: 2 - 2 because it give you 0

KEEP: -3 - 2 because it help solve for the current x-value

NEW EQUATION: x = -3 - 2

SIMPLIFY IT!
x = -5

Thus, your answer is: x = -5

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\


Therefore, your answer is: x = 1 or x = -5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

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