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Popular >

(2x^2+x)>= 1

Solution

(2 x^{2} + x) \geq 1

Solution

x \leq - 1 or x \geq \frac{1}{2}

+2

Interval Notation

(- \infty, - 1] \cup [\frac{1}{2}, \infty)

Decimal Notation

x \leq - 1 or x \geq 0.5

Solution steps

2 x^{2} + x \geq 1

Rewrite in standard form

2 x^{2} + x - 1 \geq 0

Factor

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

(2 x - 1) (x + 1) \geq 0

Identify the intervals

x \leq - 1 or x \geq \frac{1}{2}

Popular Examples

8 n \leq - 64

factor (x^2+x+4)^2+8x(x^2+x+4)+15x^2 factor

(x^{2} + x + 4)^{2} + 8 x (x^{2} + x + 4) + 15 x^{2}

factor 20x-12xy+4xz factor

20 x - 12 x y + 4 x z

simplify sqrt(102)simplify

102

x^{3} + x^{2} + 4 > 0

Frequently Asked Questions (FAQ)

What is (2x^2+x)>= 1 ?
The solution to (2x^2+x)>= 1 is x<=-1\lor x>= 1/2