What is the answer to solvefor y,x=sqrt(y-5)+3 ?

The answer to solvefor y,x=sqrt(y-5)+3 is y=x^2-6x+14 {x>= 3}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor y,x=sqrt(y-5)+3

solve for

y, x = y - 5 + 3

y = x^{2} - 6 x + 14 {x \geq 3}

Solution steps

x = y - 5 + 3

Switch sides

y - 5 + 3 = x

Move

3

to the right side

y - 5 = x - 3

Square both sides:

y - 5 = x^{2} - 6 x + 9

y - 5 = x^{2} - 6 x + 9

Solve

y - 5 = x^{2} - 6 x + 9 : y = x^{2} - 6 x + 14

y = x^{2} - 6 x + 14

Verify Solutions:

y = x^{2} - 6 x + 14 {x \geq 3}

The solution is

y = x^{2} - 6 x + 14 {x \geq 3}

x - 4 = x - 4

5 x = 15 x

10 = x^{2} + (x + 2)^{2}

x (1 - x) = 2 x - x (1 - x)

What is the answer to solvefor y,x=sqrt(y-5)+3 ?
The answer to solvefor y,x=sqrt(y-5)+3 is y=x^2-6x+14 {x>= 3}