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Solve the equation by factoring. X^2 + 3x – 4 = 0

A. X= -1, 4
B. x = 1, 4
C. x = -1, -4
D. x = 1, –4

User Qspitzer
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2 Answers

2 votes
The answer is D

explanation
User Eager
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4 votes

Original equation: x^2 + 3x - 4 = 0

How I solve by factoring is to take term a and c (as in if you were using the quadratic equation), then multiply them together. We want to find two numbers that multiply to equal the product of a x c, but add up to term b.

Term A: x^2 (1)

Term B: -4

1 x -4 = -4

Factors that have a product of -4 and add up to 3: 4, -1

Factored equation: (x + 4)(x - 1) = 0

Set each factored section equal to 0 and solve for x.

x + 4 = 0

x = -4

x - 1 = 0

x = 1

The correct answer is D. x = 1, -4

Hope this helps!! :)

User Jlouro
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