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What are the solutions to X2 + 8X + 7 = 0?
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What are the solutions to X2 + 8X + 7 = 0?
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Mathematics
4 years
2021-07-30T09:43:40+00:00
2021-07-30T09:43:40+00:00 2 Answers
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Answer:
Step-by-step explanation:
Quadratic Formula:
x = – 8 ± 6/2 =
x = – 8 + 6/2 = -1
x = – 8 – 6/2 = -7
Answer:
x = – 7, x = – 1
Step-by-step explanation:
Given
x² + 8x + 7 = 0
Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)
The factors are + 7 and + 1 , since
7 × 1 = 7 and 7 + 1 = 8 , then
(x + 7)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = – 7
x + 1 = 0 ⇒ x = – 1