SOLUTION: Please help me solve these equations. I don't know where to begin with these. √5x – 4 =6 √y + 10 = y - 2 √5x^2 – 3x = 2x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me solve these equations. I don't know where to begin with these. √5x – 4 =6 √y + 10 = y - 2 √5x^2 – 3x = 2x       Log On


   

Question 350558: Please help me solve these equations. I don't know where to begin with these.
√5x – 4 =6
√y + 10 = y - 2
√5x^2 – 3x = 2x

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(5x)-4=6
add 4
sqrt(5x)-4+4=6+4
sqrt(5x)=10
square
5x = 100
/5
x= 100/5
x=20
....
sqrt(y)+10 = y-2
sqrt(y)= y-2-10
sqrt(y)=y-12
square
y=(y-12)^2
y=y^2-24y+144
y^2-25y+144=0
y^2-16y-9y+144
y(y-16)-9(y-16)=0
(y-16)(y-9)=0
y-16 OR y=9
...
sqrt(5)x^2-3x=2x
sqrt(5)x^2=3x+2x
sqrt(5)x^2=5x
square
5x^4=25x^2
5x^4-25x^2=0
5x^2(x^2-5)=0
x=0 OR x= +/- sqrt5