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Popular >

2x^2+9<6x

Solution

2 x^{2} + 9 < 6 x

Solution

No Solution

Solution steps

2 x^{2} + 9 < 6 x

Rewrite in standard form

2 x^{2} + 9 - 6 x < 0

Complete the square

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

2 (x - \frac{3}{2})^{2} + \frac{9}{2} < 0

Move

\frac{9}{2}

to the right side

2 (x - \frac{3}{2})^{2} < - \frac{9}{2}

Divide both sides by

2

(x - \frac{3}{2})^{2} < - \frac{9}{4}

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)

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The solution to 2x^2+9<6x is No Solution