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Popular >

2x^2-x<10

Solution

2 x^{2} - x < 10

Solution

- 2 < x < \frac{5}{2}

+2

Interval Notation

(- 2, \frac{5}{2})

Decimal Notation

- 2 < x < 2.5

Solution steps

2 x^{2} - x < 10

Rewrite in standard form

2 x^{2} - x - 10 < 0

Factor

2 x^{2} - x - 10 : (x + 2) (2 x - 5)

(x + 2) (2 x - 5) < 0

Identify the intervals

- 2 < x < \frac{5}{2}

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Frequently Asked Questions (FAQ)

What is 2x^2-x<10 ?
The solution to 2x^2-x<10 is -2<x< 5/2