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Popular >

x^2>3-4x

Solution

x^{2} > 3 - 4 x

Solution

x < - 7 - 2 or x > 7 - 2

+2

Solution steps

x^{2} > 3 - 4 x

Rewrite in standard form

x^{2} + 4 x - 3 > 0

Complete the square

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

(x + 2)^{2} - 7 > 0

Move

7

to the right side

(x + 2)^{2} > 7

For

u^{n} > a

, if

n

is even then

x + 2 < - 7 or x + 2 > 7

x + 2 < - 7 : x < - 7 - 2

x + 2 > 7 : x > 7 - 2

Combine the intervals

x < - 7 - 2 or x > 7 - 2

Popular Examples

x + 3 < 9

factor n^2+9n+20 factor

n^{2} + 9 n + 20

9 x^{2} - 12 x - 1 = 0

x < 3 and x > - 2

p^{2} + 5 p - 84 = 0

Frequently Asked Questions (FAQ)

What is x^2>3-4x ?
The solution to x^2>3-4x is x<-sqrt(7)-2\lor x>sqrt(7)-2