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Popular >

2(x^2-2)<3(x-3)-x^2

Solution

2 (x^{2} - 2) < 3 (x - 3) - x^{2}

Solution

No Solution

Solution steps

2 (x^{2} - 2) < 3 (x - 3) - x^{2}

Rewrite in standard form

3 x^{2} + 5 - 3 x < 0

Complete the square

3 x^{2} + 5 - 3 x : 3 (x - \frac{1}{2})^{2} + \frac{17}{4}

3 (x - \frac{1}{2})^{2} + \frac{17}{4} < 0

Move

\frac{17}{4}

to the right side

3 (x - \frac{1}{2})^{2} < - \frac{17}{4}

Divide both sides by

3

(x - \frac{1}{2})^{2} < - \frac{17}{12}

If n is even,

u^{n} \geq 0

for all

u

No Solution for x \in R

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Frequently Asked Questions (FAQ)

What is 2(x^2-2)<3(x-3)-x^2 ?
The solution to 2(x^2-2)<3(x-3)-x^2 is No Solution