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Popular >

1-2a-3a^2<0

Solution

1 - 2 a - 3 a^{2} < 0

Solution

a < - 1 or a > \frac{1}{3}

+2

Interval Notation

(- \infty, - 1) \cup (\frac{1}{3}, \infty)

Decimal Notation

a < - 1 or a > 0.33333 \dots

Solution steps

1 - 2 a - 3 a^{2} < 0

Factor

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

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

Multiply both sides by

- 1

(reverse the inequality)

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

Simplify

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

Identify the intervals

a < - 1 or a > \frac{1}{3}

Popular Examples

2 x + 5 < 3 x - 7

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(- 9 r^{6} s^{4})^{2}

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sqrt(9-x^2)>= 0

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x+4/3 >(2x-3)/4+1

x + \frac{4}{3} > \frac{2 x - 3}{4} + 1

Frequently Asked Questions (FAQ)

What is 1-2a-3a^2<0 ?
The solution to 1-2a-3a^2<0 is a<-1\lor a> 1/3