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Popular >

49x^2+14x+1>0

Solution

49 x^{2} + 14 x + 1 > 0

Solution

x < - \frac{1}{7} or x > - \frac{1}{7}

+2

Interval Notation

(- \infty, - \frac{1}{7}) \cup (- \frac{1}{7}, \infty)

Decimal Notation

x < - 0.14285 \dots or x > - 0.14285 \dots

Solution steps

49 x^{2} + 14 x + 1 > 0

Factor

49 x^{2} + 14 x + 1 : (7 x + 1)^{2}

(7 x + 1)^{2} > 0

For

u^{n} > 0

, if

n

is even then

u < 0

or

u > 0

7 x + 1 < 0 or 7 x + 1 > 0

7 x + 1 < 0 : x < - \frac{1}{7}

7 x + 1 > 0 : x > - \frac{1}{7}

Combine the intervals

x < - \frac{1}{7} or x > - \frac{1}{7}

Popular Examples

∣ 2 x + 3 ∣ > 5

x^{4} + 8 x^{3} < x + 8

8 s + 6 < 3 s + 1

x^{2} = - 8 x

- 9 x + 7 = - 6 x + 37

Frequently Asked Questions (FAQ)

What is 49x^2+14x+1>0 ?
The solution to 49x^2+14x+1>0 is x<-1/7 \lor x>-1/7