en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^1-x^2<= 4

Solution

x^{1} - x^{2} \leq 4

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

x^{1} - x^{2} \leq 4

Rewrite in standard form

x - x^{2} - 4 \leq 0

Complete the square

x - x^{2} - 4 : - (x - \frac{1}{2})^{2} - \frac{15}{4}

- (x - \frac{1}{2})^{2} - \frac{15}{4} \leq 0

Move

\frac{15}{4}

to the right side

- (x - \frac{1}{2})^{2} \leq \frac{15}{4}

Multiply both sides by

- 1

(x - \frac{1}{2})^{2} \geq - \frac{15}{4}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

factor 2x(x+3)-5(x+3)factor

2 x (x + 3) - 5 (x + 3)

∣ x + 2 ∣ = 6

simplify log_{1/2}(1)simplify

lo g_{\frac{1}{2}} (1)

ln (x) > 0

x^3-6x^2+11x-6>= 0

x^{3} - 6 x^{2} + 11 x - 6 \geq 0

Frequently Asked Questions (FAQ)

What is x^1-x^2<= 4 ?
The solution to x^1-x^2<= 4 is True for all x