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iVinArrow [24]
3 years ago
15

Solve for x in the equation x^2+20x+100=36

Mathematics
1 answer:
Ierofanga [76]3 years ago
6 0
Factoring - I always found this to be easy (one of the few things in math that I felt was easy!)

x^2 + 20x + 100 = 36

First step is to get the right side to zero. Do this by subtracting 36.

x^2 + 20x + 64 = 0

Now we have to factor the expression. We could use quadratic formula, completing the square, or use the product/sum rule if possible (which it is).

64's factors are:
1, 64
2, 32
4, 16
8, 8

We need the two factors that sum to 20...

(x + 4)(x + 16) = 0
Set each factor to zero
x + 4 = 0 and x + 16 = 0

Solve each equation
x = -4 and x = -16

You should always check for extraneous solutions. I recommend using desmos.com to check answers! 

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A group of friends went to lunch, and their bill was $132.50. An 18% gratuity was added to the bill. What was the total amount o
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A group of friends went to lunch, and their bill was $132.50

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