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Popular >

x^2-4x+5>= 0

Solution

x^{2} - 4 x + 5 \geq 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

x^{2} - 4 x + 5 \geq 0

Complete the square

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

(x - 2)^{2} + 1 \geq 0

Move

1

to the right side

(x - 2)^{2} \geq - 1

If n is even,

u^{n} \geq 0

for all

u

True for all x

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3 x^{2} - 2 x < 2 x^{2} + 8

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9 x^{3} - 9 x

Frequently Asked Questions (FAQ)

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