What is the answer to sqrt(x^2-5)+sqrt(x-2)=3 ?

The answer to sqrt(x^2-5)+sqrt(x-2)=3 is x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(x^2-5)+sqrt(x-2)=3

x^{2} - 5 + x - 2 = 3

x = 3

Solution steps

x^{2} - 5 + x - 2 = 3

Remove square roots

x^{4} - 2 x^{3} - 23 x^{2} + 24 x + 144 = 36 x - 72

Solve

x^{4} - 2 x^{3} - 23 x^{2} + 24 x + 144 = 36 x - 72 : x = 3, x \approx 5.31375 \dots

x = 3, x \approx 5.31375 \dots

Verify Solutions:

x = 3

True

, x \approx 5.31375 \dots

False

The solution is

x = 3

y, x y = x - 2 y

x + 9 = x - 1

y, y = x

15 x^{\frac{2}{3}} - 10 x = 0

\frac{2}{x ^{\frac{1}{3}}} - 1 = 0

What is the answer to sqrt(x^2-5)+sqrt(x-2)=3 ?
The answer to sqrt(x^2-5)+sqrt(x-2)=3 is x=3
Solve for x: sqrt(x^2-5)+sqrt(x-2)=3
The solution is x=3