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Popular >

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

Solution

2 (2 x^{2} - 3 x) \geq - 9

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

2 (2 x^{2} - 3 x) \geq - 9

Rewrite in standard form

4 x^{2} - 6 x + 9 \geq 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} \geq 0

Move

\frac{27}{4}

to the right side

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

Divide both sides by

4

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

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

simplify ((3x^4)/(y^6))^5 simplify

(\frac{3 x ^{4}}{y ^{6}})^{5}

simplify sqrt(64+225)simplify

64 + 225

factor 7x^2-7x-42 factor

7 x^{2} - 7 x - 42

g + 8 \leq 2 g + 5

simplify (sqrt(32))/(sqrt(8))simplify

\frac{32}{8}

Frequently Asked Questions (FAQ)

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