en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4x^2-x>-2

Solution

4 x^{2} - x > - 2

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

4 x^{2} - x > - 2

Rewrite in standard form

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

Complete the square

4 x^{2} - x + 2 : 4 (x - \frac{1}{8})^{2} + \frac{31}{16}

4 (x - \frac{1}{8})^{2} + \frac{31}{16} > 0

Move

\frac{31}{16}

to the right side

4 (x - \frac{1}{8})^{2} > - \frac{31}{16}

Divide both sides by

4

(x - \frac{1}{8})^{2} > - \frac{31}{64}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

factor 10x^2-29x+10 factor

10 x^{2} - 29 x + 10

(x-2)-2(x-1)=x+1-(x-5)

(x - 2) - 2 (x - 1) = x + 1 - (x - 5)

factor 9a^2b^3+15a^5b^4 factor

9 a^{2} b^{3} + 15 a^{5} b^{4}

factor 64x^44y^2+176x^2yw^3+121w^6 factor

64 x^{4} 4 y^{2} + 176 x^{2} y w^{3} + 121 w^{6}

factor x^2+20x-96 factor

x^{2} + 20 x - 96

Frequently Asked Questions (FAQ)

What is 4x^2-x>-2 ?
The solution to 4x^2-x>-2 is True for all x