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Popular >

x^2>11-4x

Solution

x^{2} > 11 - 4 x

Solution

x < - 15 - 2 or x > 15 - 2

+2

Interval Notation

(- \infty, - 15 - 2) \cup (15 - 2, \infty)

Decimal Notation

x < - 5.87298 \dots or x > 1.87298 \dots

Solution steps

x^{2} > 11 - 4 x

Rewrite in standard form

x^{2} + 4 x - 11 > 0

Complete the square

x^{2} + 4 x - 11 : (x + 2)^{2} - 15

(x + 2)^{2} - 15 > 0

Move

15

to the right side

(x + 2)^{2} > 15

For

u^{n} > a

, if

n

is even then

x + 2 < - 15 or x + 2 > 15

x + 2 < - 15 : x < - 15 - 2

x + 2 > 15 : x > 15 - 2

Combine the intervals

x < - 15 - 2 or x > 15 - 2

Popular Examples

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6 d - \frac{11}{2} = 2 d - \frac{13}{2}

simplify 1-(365!)/(365^{23)(365-23)!}simplify

1 - \frac{365 !}{36 5 ^{23} ( 365 - 23 ) !}

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(3 a - b)^{2} + 3 (a + b)^{2}

x^{2} + 8 = 84

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Frequently Asked Questions (FAQ)

What is x^2>11-4x ?
The solution to x^2>11-4x is x<-sqrt(15)-2\lor x>sqrt(15)-2