What is x+3(x-5)>= (3x+2)x+1 ?

The solution to x+3(x-5)>= (3x+2)x+1 is No Solution

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x+3(x-5)>= (3x+2)x+1

x + 3 (x - 5) \geq (3 x + 2) x + 1

No Solution

Solution steps

x + 3 (x - 5) \geq (3 x + 2) x + 1

Rewrite in standard form

2 x - 16 - 3 x^{2} \geq 0

Complete the square

2 x - 16 - 3 x^{2} : - 3 (x - \frac{1}{3})^{2} - \frac{47}{3}

- 3 (x - \frac{1}{3})^{2} - \frac{47}{3} \geq 0

Move

\frac{47}{3}

to the right side

- 3 (x - \frac{1}{3})^{2} \geq \frac{47}{3}

Multiply both sides by

- 1

3 (x - \frac{1}{3})^{2} \leq - \frac{47}{3}

Divide both sides by

3

(x - \frac{1}{3})^{2} \leq - \frac{47}{9}

If n is even,

u^{n} \geq 0

for all

u

No Solution for x \in R

12 1^{- \frac{3}{2}}

9 x^{2} + 11 x + 2

x^{2} = \frac{16}{5}

- a^{3} + 4 a^{2} - 5 a + 2

\frac{y ^{2}}{2} = 2 y

What is x+3(x-5)>= (3x+2)x+1 ?
The solution to x+3(x-5)>= (3x+2)x+1 is No Solution