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Solve the equation x²+2x-3=0​

1 Answer

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Answer:

x = - 3, x = 1

Explanation:

x² + 2x - 3 = 0

consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)

the factors are + 3 and - 1 , since

3 × - 1 = - 3 and + 3 - 1 = + 2 , then

(x + 3)(x - 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 3 = 0 ( subtract 3 from both sides )

x = - 3

x - 1 = 0 ( add 1 to both sides )

x = 1

solutions are x = - 3 , x = 1

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