en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2x^2-5x<12

Solution

2 x^{2} - 5 x < 12

Solution

- \frac{3}{2} < x < 4

+2

Interval Notation

(- \frac{3}{2}, 4)

Decimal Notation

- 1.5 < x < 4

Solution steps

2 x^{2} - 5 x < 12

Rewrite in standard form

2 x^{2} - 5 x - 12 < 0

Factor

2 x^{2} - 5 x - 12 : (2 x + 3) (x - 4)

(2 x + 3) (x - 4) < 0

Identify the intervals

- \frac{3}{2} < x < 4

Popular Examples

2 x < 3 x + 4 \leq x + 6

factor ((x^4+x^3+8x^2-x+1))/((x^2-1))factor

\frac{( x ^{4} + x ^{3} + 8 x ^{2} - x + 1 )}{( x ^{2} - 1 )}

factor x^4-6561 factor

x^{4} - 6561

1/5 (x-12)= 1/4 (x-15)

\frac{1}{5} (x - 12) = \frac{1}{4} (x - 15)

simplify (2(4)^{3/2})/3 simplify

\frac{2 ( 4 ) ^{\frac{3}{2}}}{3}

Frequently Asked Questions (FAQ)

What is 2x^2-5x<12 ?
The solution to 2x^2-5x<12 is -3/2 <x<4