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Popular >

x^2-5x+10>= 0

Solution

x^{2} - 5 x + 10 \geq 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

x^{2} - 5 x + 10 \geq 0

Complete the square

x^{2} - 5 x + 10 : (x - \frac{5}{2})^{2} + \frac{15}{4}

(x - \frac{5}{2})^{2} + \frac{15}{4} \geq 0

Move

\frac{15}{4}

to the right side

(x - \frac{5}{2})^{2} \geq - \frac{15}{4}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

simplify 64^{3/4}simplify

6 4^{\frac{3}{4}}

factor x^4+11x^2+24 factor

x^{4} + 11 x^{2} + 24

4 x^{2} + 7 x - 2 = 0

factor 12x^2+17x+6 factor

12 x^{2} + 17 x + 6

2 (12 - 8 x) = x - 11 x

Frequently Asked Questions (FAQ)

What is x^2-5x+10>= 0 ?
The solution to x^2-5x+10>= 0 is True for all x