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Popular >

2(2x^2-3x)>-9

Solution

2 (2 x^{2} - 3 x) > - 9

Solution

True for all x

+1

Solution steps

2 (2 x^{2} - 3 x) > - 9

Rewrite in standard form

4 x^{2} - 6 x + 9 > 0

Complete the square

4 x^{2} - 6 x + 9 : 4 (x - \frac{3}{4})^{2} + \frac{27}{4}

4 (x - \frac{3}{4})^{2} + \frac{27}{4} > 0

Move

\frac{27}{4}

to the right side

4 (x - \frac{3}{4})^{2} > - \frac{27}{4}

Divide both sides by

4

(x - \frac{3}{4})^{2} > - \frac{27}{16}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

- 5 y \leq 15

factor (x-6)^{7/2}-36(x-6)^{3/2}factor

(x - 6)^{\frac{7}{2}} - 36 (x - 6)^{\frac{3}{2}}

factor 40x^2-39x-40 factor

40 x^{2} - 39 x - 40

(x - 2) (x + 5) \leq 0

∣ x ∣ \leq 15

Frequently Asked Questions (FAQ)

What is 2(2x^2-3x)>-9 ?
The solution to 2(2x^2-3x)>-9 is True for all x