SOLUTION: help me solve for y
(x-1)^2 + y^2 = 1
Algebra.Com
Question 8199: help me solve for y
(x-1)^2 + y^2 = 1
Answer by AnlytcPhil(1810) (Show Source): You can put this solution on YOUR website!
help me solve for y
`
` ` ` ` (x-1)2 + y2 = 1
`
Subtract (x-1)2 from both sides
`
` ` ` ` `y2 = 1 - (x-1)2
Write 1 as 12
`
` ` ` ` `y2 = 12 - (x-1)2
`
The right side will factor as the difference of two squares:
`
` ` ` ` `y2 = [1 - (x-1)][1 + (x-1)]
`
Remove inner parentheses
`
` ` ` ` `y2 = [1 - x + 1)(1 + x - 1]
`
Combine like terms
`
` ` ` ` `y2 = [2 - x][x]
`
Rewrite with short factor first
`
` ` ` ` `y2 = x(2-x)
`
Take square roots of both sides, remembering ± on the right
` ` ` ` ` ` ` ` ______
` ` ` ` ` y = ±Öx(2-x)
`
Edwin
RELATED QUESTIONS
please help me solve y=x+2... (answered by solver91311)
Please help and solve this graph for me. y=-x^2-2x
x;-3 -2 -1 0 1... (answered by funmath,venugopalramana)
Please help me solve this equation for x. The equation is... (answered by erica65404)
please help me solve this this equation {{{ (x^3/ y^2)^-1 * (x^2/ y)^-2... (answered by Alan3354)
1/x + 3/y = 6
2/x - 1/6 = 1
help me to solve for the x and... (answered by mananth)
please help me solve this equation: 2(x-y) + 3 + (x+y) -... (answered by Theo)
Help me solve
1) 3x-y=7,for y
2) 5y-10+y=7y+18-5y (answered by jim_thompson5910)
Please help me solve this
Simplify 8x^2 y^2 /x^-2 y * (4xy^2)-1/x^2 y (answered by Alan3354)
Please help me solve this equation:
2x^2-y^2=1
x^2-2y^2=... (answered by Fombitz)