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Popular >

x^2-4x+2>0

Solution

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

Solution

x < - 2 + 2 or x > 2 + 2

+2

Interval Notation

(- \infty, - 2 + 2) \cup (2 + 2, \infty)

Decimal Notation

x < 0.58578 \dots or x > 3.41421 \dots

Solution steps

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

Complete the square

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

(x - 2)^{2} - 2 > 0

Move

2

to the right side

(x - 2)^{2} > 2

For

u^{n} > a

, if

n

is even then

x - 2 < - 2 or x - 2 > 2

x - 2 < - 2 : x < - 2 + 2

x - 2 > 2 : x > 2 + 2

Combine the intervals

x < - 2 + 2 or x > 2 + 2

Popular Examples

\frac{2}{( 1 + 1 ) ^{3}}

factor 3y^2-48 factor

3 y^{2} - 48

factor x^4-9x^3+12x^2+80x-192 factor

x^{4} - 9 x^{3} + 12 x^{2} + 80 x - 192

simplify (1/(x^2-3x-54))^{1/2}simplify

(\frac{1}{x ^{2} - 3 x - 54})^{\frac{1}{2}}

3x+2(2x+1)=4(3+x)

3 x + 2 (2 x + 1) = 4 (3 + x)

Frequently Asked Questions (FAQ)

What is x^2-4x+2>0 ?
The solution to x^2-4x+2>0 is x<-sqrt(2)+2\lor x>sqrt(2)+2