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Popular >

2x^2-4x+3>0

Solution

2 x^{2} - 4 x + 3 > 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

2 x^{2} - 4 x + 3 > 0

Complete the square

2 x^{2} - 4 x + 3 : 2 (x - 1)^{2} + 1

2 (x - 1)^{2} + 1 > 0

Move

1

to the right side

2 (x - 1)^{2} > - 1

Divide both sides by

2

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

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

((7x+5))/((3x-1))<5

\frac{( 7 x + 5 )}{( 3 x - 1 )} < 5

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(2+3)/((x+1))>= 2/x

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

((x+3))/((5x))>0

\frac{( x + 3 )}{( 5 x )} > 0

3 x + \frac{8}{x} - 1 < - \frac{2}{1}

Frequently Asked Questions (FAQ)

What is 2x^2-4x+3>0 ?
The solution to 2x^2-4x+3>0 is True for all x