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what are the roots of the equation x^2+7x-30=0

 May 19, 2017
 #1
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Solve for x:
x^2 + 7 x - 30 = 0

The left hand side factors into a product with two terms:
(x - 3) (x + 10) = 0

Split into two equations:
x - 3 = 0 or x + 10 = 0

Add 3 to both sides:
x = 3 or x + 10 = 0

Subtract 10 from both sides:
Answer: | x = 3                     or                      x = -10

 May 19, 2017

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