What is the answer to sqrt(x)-sqrt(25-x^2)=1 ?

The answer to sqrt(x)-sqrt(25-x^2)=1 is x\approx 4.85312…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(x)-sqrt(25-x^2)=1

x - 25 - x^{2} = 1

x \approx 4.85312 \dots

Solution steps

x - 25 - x^{2} = 1

Remove square roots

2 x^{3} + x^{4} - 51 x^{2} - 52 x + 676 = 100 - 4 x^{2}

Solve

2 x^{3} + x^{4} - 51 x^{2} - 52 x + 676 = 100 - 4 x^{2} : x = 4, x \approx 4.85312 \dots

x = 4, x \approx 4.85312 \dots

Verify Solutions:

x = 4

False

, x \approx 4.85312 \dots

True

The solution is

x \approx 4.85312 \dots

4 x - 16 = x - 4

8 + 2 x - x = x + 6

x - 3 = 4

2 3 x + 1 - 2 x + 2 = 0

x = 9 x - 14

What is the answer to sqrt(x)-sqrt(25-x^2)=1 ?
The answer to sqrt(x)-sqrt(25-x^2)=1 is x\approx 4.85312…
Solve for x: sqrt(x)-sqrt(25-x^2)=1
The solution is x\approx 4.85312…