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Solve for x x^2 - 2x - 35 = 0x
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3 votes
Solve for x
x^2 - 2x - 35 = 0x

User Erenon
by
5.7k points

1 Answer

4 votes

Answer:

x = 7

x = -5

Explanation:

Given

x² - 2x - 35 = 0

Consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)

The factors are - 7 and + 5, since

- 7 × 5 = - 35 and - 7 + 5 = - 2, thus

(x - 7)(x + 5) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 7 = 0 ⇒ x = 7

User Smts
by
5.1k points
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