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Popular >

2x^2-4x+1>-x-3

Solution

2 x^{2} - 4 x + 1 > - x - 3

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

2 x^{2} - 4 x + 1 > - x - 3

Rewrite in standard form

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

Complete the square

2 x^{2} - 3 x + 4 : 2 (x - \frac{3}{4})^{2} + \frac{23}{8}

2 (x - \frac{3}{4})^{2} + \frac{23}{8} > 0

Move

\frac{23}{8}

to the right side

2 (x - \frac{3}{4})^{2} > - \frac{23}{8}

Divide both sides by

2

(x - \frac{3}{4})^{2} > - \frac{23}{16}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

simplify (2^{-7}*5^5)^2 simplify

(2^{- 7} \cdot 5^{5})^{2}

factor 4b^2-9 factor

4 b^{2} - 9

5 (2 x - 1) > 6 x + 3

simplify 11/5-3/7 simplify

\frac{11}{5} - \frac{3}{7}

simplify 2/3*2/5 simplify

\frac{2}{3} \cdot \frac{2}{5}

Frequently Asked Questions (FAQ)

What is 2x^2-4x+1>-x-3 ?
The solution to 2x^2-4x+1>-x-3 is True for all x