What is -x^2+3x-6+9>3x-6+2x^2 ?

The solution to -x^2+3x-6+9>3x-6+2x^2 is -sqrt(3)<x<sqrt(3)

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-x^2+3x-6+9>3x-6+2x^2

- x^{2} + 3 x - 6 + 9 > 3 x - 6 + 2 x^{2}

- 3 < x < 3

Interval Notation

(- 3, 3)

Decimal Notation

- 1.73205 \dots < x < 1.73205 \dots

Solution steps

- x^{2} + 3 x - 6 + 9 > 3 x - 6 + 2 x^{2}

Rewrite in standard form

- x^{2} + 3 > 0

Move

3

to the right side

- x^{2} > - 3

Multiply both sides by

- 1

x^{2} < 3

For

u^{n} < a

, if

n

is even then

- 3 < x < 3

- 6 x^{2} + 24 x

∣ x - 11 ∣ = ∣ 2 x + 11 ∣

\frac{2 x - 6}{x + 5} \leq 0

x^{3} + 5 x^{2} - 16 x - 80

16 = - 16 t^{2} + 30 t + 4

What is -x^2+3x-6+9>3x-6+2x^2 ?
The solution to -x^2+3x-6+9>3x-6+2x^2 is -sqrt(3)<x<sqrt(3)