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Mathematics
Rodolfo Buchanan
9 March, 23:49
Which are the solutions to x^2+8x+7=0
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Jayson Carey
10 March, 02:21
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Answer: x = - 1, - 7
Set the polynomial to standard form: ax² + bx + c (already given).
x² + 8x + 7 = 0
a = 1 b = 8 c = 7
Factor the polynomial. To do this, find two numbers that multiply to get c and add together to get b. In this case, those two numbers are 1 and 7.
(x + 1) (x + 7) = 0
1 * 7 = 7 1 + 7 = 8
Set each factor equal to zero and solve for x. The factors in the equation are (x + 1) and (x + 7).
(x + 1) = 0
x = - 1
(x + 7) = 0
x = - 7
The solutions to x² + 8x + 7 are - 1 and - 7. You can check this by using FOIL.
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