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Popular >

2x^2-3x+1>0

Solution

2 x^{2} - 3 x + 1 > 0

Solution

x < \frac{1}{2} or x > 1

+2

Interval Notation

(- \infty, \frac{1}{2}) \cup (1, \infty)

Decimal Notation

x < 0.5 or x > 1

Solution steps

2 x^{2} - 3 x + 1 > 0

Factor

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

(2 x - 1) (x - 1) > 0

Identify the intervals

x < \frac{1}{2} or x > 1

Popular Examples

x^{4} + 2 > 0

((3x-1))/((2x-4))<1

\frac{( 3 x - 1 )}{( 2 x - 4 )} < 1

((8x^2+16x-51))/(((2x-3)(x+4)))<3

\frac{( 8 x ^{2} + 16 x - 51 )}{( ( 2 x - 3 ) ( x + 4 ) )} < 3

1/((x+1))>= 2/((x+2))

\frac{1}{( x + 1 )} \geq \frac{2}{( x + 2 )}

((2x-x^2+11))/((x^2+2x+3))>= 1

\frac{( 2 x - x ^{2} + 11 )}{( x ^{2} + 2 x + 3 )} \geq 1

Frequently Asked Questions (FAQ)

What is 2x^2-3x+1>0 ?
The solution to 2x^2-3x+1>0 is x< 1/2 \lor x>1