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Popular >

2x^2+2<3x

Solution

2 x^{2} + 2 < 3 x

Solution

No Solution

Solution steps

2 x^{2} + 2 < 3 x

Rewrite in standard form

2 x^{2} + 2 - 3 x < 0

Complete the square

2 x^{2} + 2 - 3 x : 2 (x - \frac{3}{4})^{2} + \frac{7}{8}

2 (x - \frac{3}{4})^{2} + \frac{7}{8} < 0

Move

\frac{7}{8}

to the right side

2 (x - \frac{3}{4})^{2} < - \frac{7}{8}

Divide both sides by

2

(x - \frac{3}{4})^{2} < - \frac{7}{16}

If n is even,

u^{n} \geq 0

for all

u

No Solution for x \in R

Popular Examples

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

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

(2x^2-x-3)/8 >= 1

\frac{2 x ^{2} - x - 3}{8} \geq 1

(10x)/((x^2+9))<= 1

\frac{10 x}{( x ^{2} + 9 )} \leq 1

\frac{2}{x - 3} < 0

x->2(2/((x-1)))

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

Frequently Asked Questions (FAQ)

What is 2x^2+2<3x ?
The solution to 2x^2+2<3x is No Solution