What is 1+sqrt(5x-2)>4 ?

The solution to 1+sqrt(5x-2)>4 is x> 11/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1+sqrt(5x-2)>4

1 + 5 x - 2 > 4

x > \frac{11}{5}

Interval Notation

(\frac{11}{5}, \infty)

Decimal Notation

x > 2.2

Solution steps

1 + 5 x - 2 > 4

Move

1

to the right side

5 x - 2 > 3

Square both sides

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

Simplify

5 x - 2 > 9

5 x - 2 > 9 : x > \frac{11}{5}

x > \frac{11}{5}

Find singularity points

Find non-negative values for radicals:

x \geq \frac{2}{5}

Combine the intervals

x > \frac{11}{5} and x \geq \frac{2}{5}

Merge Overlapping Intervals

x > \frac{11}{5}

x^{7} - y^{7}

(7 i) (2 i)

\frac{h}{4} \leq 2

y^{2} + 13 y + 40

2 (X + 1) + 2 (X + 1) = X + 13