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Popular >

x^2>= 4x-7

Solution

x^{2} \geq 4 x - 7

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

x^{2} \geq 4 x - 7

Rewrite in standard form

x^{2} + 7 - 4 x \geq 0

Complete the square

x^{2} + 7 - 4 x : (x - 2)^{2} + 3

(x - 2)^{2} + 3 \geq 0

Move

3

to the right side

(x - 2)^{2} \geq - 3

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

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

simplify (1+43i)/(-5+7i)simplify

\frac{1 + 43 i}{- 5 + 7 i}

∣ 2 x ∣ < 8

\frac{4}{6} = \frac{x}{9}

\frac{p}{4} = - 13

Frequently Asked Questions (FAQ)

What is x^2>= 4x-7 ?
The solution to x^2>= 4x-7 is True for all x