What is 12-(x^2-101)<-74+6x^2 ?

The solution to 12-(x^2-101) sqrt(187/7)

Popular >

12-(x^2-101)<-74+6x^2

12 - (x^{2} - 101) < - 74 + 6 x^{2}

x < - \frac{187}{7} or x > \frac{187}{7}

Interval Notation

(- \infty, - \frac{187}{7}) \cup (\frac{187}{7}, \infty)

Decimal Notation

x < - 5.16858 \dots or x > 5.16858 \dots

Solution steps

12 - (x^{2} - 101) < - 74 + 6 x^{2}

Rewrite in standard form

- 7 x^{2} + 187 < 0

Move

187

to the right side

- 7 x^{2} < - 187

Multiply both sides by

- 1

7 x^{2} > 187

Divide both sides by

7

x^{2} > \frac{187}{7}

For

u^{n} > a

, if

n

is even then

x < - \frac{187}{7} or x > \frac{187}{7}

\frac{( 8 + 4 x )}{( 4 x + x ^{2} )} \leq \frac{2}{x} + \frac{3}{( 4 + x )}

\frac{x ^{2} + ( 4 x ^{2} )}{( ( x - 2 ) ^{2} )} \leq 5

(3 x + 1)^{2} + 4 x < 9 x^{2} + x - 4

((x^{2} - 5 x + 6)^{2})^{0} ((x^{2} - 11 x + 24)^{3})^{1} > 0

\frac{( 2 ( x - 4 ) )}{( ( x - 1 ) ( x - 7 ) )} \geq \frac{1}{( x - 2 )}

What is 12-(x^2-101)<-74+6x^2 ?
The solution to 12-(x^2-101)<-74+6x^2 is x<-sqrt(187/7)\lor x>sqrt(187/7)