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Popular >

x^2-x+1>0

Solution

x^{2} - x + 1 > 0

Solution

True for all x

+1

Solution steps

x^{2} - x + 1 > 0

Complete the square

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

(x - \frac{1}{2})^{2} + \frac{3}{4} > 0

Move

\frac{3}{4}

to the right side

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

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

factor x^4-14x^3+71x^2-154x+120 factor

x^{4} - 14 x^{3} + 71 x^{2} - 154 x + 120

simplify 4096^{1/4}simplify

409 6^{\frac{1}{4}}

simplify sqrt(-108)-sqrt(-3)simplify

- 108 - - 3

simplify sqrt(a)sqrt(b)simplify

a b

2-5(x+5)=3(x-2)-1

2 - 5 (x + 5) = 3 (x - 2) - 1

Frequently Asked Questions (FAQ)

What is x^2-x+1>0 ?
The solution to x^2-x+1>0 is True for all x