SOLUTION: 5y^2 - 3y - 7= 0 a) Complete the squares to find roots b)Use the quadratic formula to find roots c) If possible, put into factored form (rational roots)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 5y^2 - 3y - 7= 0 a) Complete the squares to find roots b)Use the quadratic formula to find roots c) If possible, put into factored form (rational roots)      Log On


   

Question 1135890: 5y^2 - 3y - 7= 0
a) Complete the squares to find roots
b)Use the quadratic formula to find roots
c) If possible, put into factored form (rational roots)
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
5%28y%5E2-%283%2F5%29y%29=7
5%28y%5E2-%283%2F5%29y%2B%283%2F10%29%5E2%29=7%2B5%283%2F10%29%5E2---------completing the square
5%28y-3%2F10%29%5E2=7%2B5%289%2F100%29
%28y-3%2F10%29%5E2=7%2F5%2B9%2F100
%28y-3%2F10%29%5E2=140%2F100%2B9%2F100
%28y-3%2F10%29%5E2=149%2F100
y-3%2F10=0%2B-+sqrt%28149%29%2F10
highlight%28y=3%2F10%2B-+sqrt%28149%29%2F10%29
Look for any arithmetic mistakes if any.

You can do part (b) if you want.