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Popular >

-16x^2+40x-25<0

Solution

- 16 x^{2} + 40 x - 25 < 0

Solution

x < \frac{5}{4} or x > \frac{5}{4}

+2

Interval Notation

(- \infty, \frac{5}{4}) \cup (\frac{5}{4}, \infty)

Decimal Notation

x < 1.25 or x > 1.25

Solution steps

- 16 x^{2} + 40 x - 25 < 0

Factor

- 16 x^{2} + 40 x - 25 : - (4 x - 5)^{2}

- (4 x - 5)^{2} < 0

Multiply both sides by

- 1

(4 x - 5)^{2} > 0

For

u^{n} > 0

, if

n

is even then

u < 0

or

u > 0

4 x - 5 < 0 or 4 x - 5 > 0

4 x - 5 < 0 : x < \frac{5}{4}

4 x - 5 > 0 : x > \frac{5}{4}

Combine the intervals

x < \frac{5}{4} or x > \frac{5}{4}

Popular Examples

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2 s t^{4} - 8 s t^{2} - 90 s

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2(2x+x)-(6-7x)=13x-(1+4x)

2 (2 x + x) - (6 - 7 x) = 13 x - (1 + 4 x)

3 v + 4 = 6 v + 19

Frequently Asked Questions (FAQ)

What is -16x^2+40x-25<0 ?
The solution to -16x^2+40x-25<0 is x< 5/4 \lor x> 5/4