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Popular >

4x^2-4x+5>0

Solution

4 x^{2} - 4 x + 5 > 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

4 x^{2} - 4 x + 5 > 0

Complete the square

4 x^{2} - 4 x + 5 : 4 (x - \frac{1}{2})^{2} + 4

4 (x - \frac{1}{2})^{2} + 4 > 0

Move

4

to the right side

4 (x - \frac{1}{2})^{2} > - 4

Divide both sides by

4

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

If n is even,

u^{n} \geq 0

for all

u

True for all x

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Frequently Asked Questions (FAQ)

What is 4x^2-4x+5>0 ?
The solution to 4x^2-4x+5>0 is True for all x