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Popular >

3-2x<x^2

Solution

3 - 2 x < x^{2}

Solution

x < - 3 or x > 1

+1

Solution steps

3 - 2 x < x^{2}

Rewrite in standard form

3 - 2 x - x^{2} < 0

Factor

3 - 2 x - x^{2} : - (x - 1) (x + 3)

- (x - 1) (x + 3) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x - 1) (x + 3)) (- 1) > 0 \cdot (- 1)

Simplify

(x - 1) (x + 3) > 0

Identify the intervals

x < - 3 or x > 1

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Frequently Asked Questions (FAQ)

What is 3-2x<x^2 ?
The solution to 3-2x<x^2 is x<-3\lor x>1