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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

simplify (-45/49)(48/18)simplify

(- \frac{45}{49}) (\frac{48}{18})

simplify sqrt(x^{19)}simplify

x^{19}

\frac{9}{x + 8} \leq 10

x^{2} + 5 x + 6 = 0

simplify (a^{12})/(a^3)simplify

\frac{a ^{12}}{a ^{3}}

Frequently Asked Questions (FAQ)

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