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Popular >

x(2x+3)>3x^2+5

Solution

x (2 x + 3) > 3 x^{2} + 5

Solution

No Solution

Solution steps

x (2 x + 3) > 3 x^{2} + 5

Rewrite in standard form

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

Complete the square

- x^{2} + 3 x - 5 : - (x - \frac{3}{2})^{2} - \frac{11}{4}

- (x - \frac{3}{2})^{2} - \frac{11}{4} > 0

Move

\frac{11}{4}

to the right side

- (x - \frac{3}{2})^{2} > \frac{11}{4}

Multiply both sides by

- 1

(x - \frac{3}{2})^{2} < - \frac{11}{4}

If n is even,

u^{n} \geq 0

for all

u

No Solution for x \in R

Popular Examples

x^{4} + 5 < 0

\frac{1}{x - 2} > 0

\frac{x ^{2} + 3}{x} > 4

(x - 7)^{2} < x - 5

(x-2)^2((x+2)^1)^6(x+1)<0

(x - 2)^{2} ((x + 2)^{1})^{6} (x + 1) < 0

Frequently Asked Questions (FAQ)

What is x(2x+3)>3x^2+5 ?
The solution to x(2x+3)>3x^2+5 is No Solution