en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4x^2+5>x^2+16x

Solution

4 x^{2} + 5 > x^{2} + 16 x

Solution

x < \frac{1}{3} or x > 5

+2

Interval Notation

(- \infty, \frac{1}{3}) \cup (5, \infty)

Decimal Notation

x < 0.33333 \dots or x > 5

Solution steps

4 x^{2} + 5 > x^{2} + 16 x

Rewrite in standard form

3 x^{2} - 16 x + 5 > 0

Factor

3 x^{2} - 16 x + 5 : (3 x - 1) (x - 5)

(3 x - 1) (x - 5) > 0

Identify the intervals

x < \frac{1}{3} or x > 5

Popular Examples

x^{2} + x - 1 > 0

simplify-9xy^2(-11x^5y^5)simplify

- 9 x y^{2} (- 11 x^{5} y^{5})

- 9 - 3 x \leq 0

- 4 \leq - 2 x + 4 < 8

simplify-1/2+1/2 simplify

- \frac{1}{2} + \frac{1}{2}

Frequently Asked Questions (FAQ)

What is 4x^2+5>x^2+16x ?
The solution to 4x^2+5>x^2+16x is x< 1/3 \lor x>5