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Popular >

x^2+4x-3>0

Solution

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

Solution

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

+2

Interval Notation

(- \infty, - 7 - 2) \cup (7 - 2, \infty)

Decimal Notation

x < - 4.64575 \dots or x > 0.64575 \dots

Solution steps

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

(1(5x+1))/(((x+1)^2))<1

\frac{1 ( 5 x + 1 )}{( ( x + 1 ) ^{2} )} < 1

(1-0.25*x)*(20+x)>20

(1 - 0.25 \cdot x) \cdot (20 + x) > 20

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

\frac{3}{2 x - 1} < - 2

x (x - 10) < - 2 x - 7

Frequently Asked Questions (FAQ)

What is x^2+4x-3>0 ?
The solution to x^2+4x-3>0 is x<-sqrt(7)-2\lor x>sqrt(7)-2