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Popular >

-2x^2+x>= 1

Solution

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

Solution

No Solution

Solution steps

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

Rewrite in standard form

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

Complete the square

- 2 x^{2} + x - 1 : - 2 (x - \frac{1}{4})^{2} - \frac{7}{8}

- 2 (x - \frac{1}{4})^{2} - \frac{7}{8} \geq 0

Move

\frac{7}{8}

to the right side

- 2 (x - \frac{1}{4})^{2} \geq \frac{7}{8}

Multiply both sides by

- 1

2 (x - \frac{1}{4})^{2} \leq - \frac{7}{8}

Divide both sides by

2

(x - \frac{1}{4})^{2} \leq - \frac{7}{16}

If n is even,

u^{n} \geq 0

for all

u

No Solution for x \in R

Popular Examples

4 x^{2} - 3 = - 4 x

simplify (81x^{24}y^{-20})^{1/4}simplify

(81 x^{24} y^{- 20})^{\frac{1}{4}}

factor a^2-3a-4 factor

a^{2} - 3 a - 4

x^{2} - 8 x - 105 = - 10

\frac{3 x + 5}{3} = 9

Frequently Asked Questions (FAQ)

What is -2x^2+x>= 1 ?
The solution to -2x^2+x>= 1 is No Solution