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Popular >

x^2+4x-10>0

Solution

x^{2} + 4 x - 10 > 0

Solution

x < - 14 - 2 or x > 14 - 2

+2

Interval Notation

(- \infty, - 14 - 2) \cup (14 - 2, \infty)

Decimal Notation

x < - 5.74165 \dots or x > 1.74165 \dots

Solution steps

x^{2} + 4 x - 10 > 0

Complete the square

x^{2} + 4 x - 10 : (x + 2)^{2} - 14

(x + 2)^{2} - 14 > 0

Move

14

to the right side

(x + 2)^{2} > 14

For

u^{n} > a

, if

n

is even then

x + 2 < - 14 or x + 2 > 14

x + 2 < - 14 : x < - 14 - 2

x + 2 > 14 : x > 14 - 2

Combine the intervals

x < - 14 - 2 or x > 14 - 2

Popular Examples

x=200e^{((ln(0.5))/5)(15)}

x = 200 e^{(\frac{l n ( 0.5 )}{5}) (15)}

simplify-6/7*(-5/4)simplify

- \frac{6}{7} \cdot (- \frac{5}{4})

simplify 4^2*4^3 simplify

4^{2} \cdot 4^{3}

simplify sqrt(605)simplify

605

20 = \frac{4}{5} x

Frequently Asked Questions (FAQ)

What is x^2+4x-10>0 ?
The solution to x^2+4x-10>0 is x<-sqrt(14)-2\lor x>sqrt(14)-2