SOLUTION: 4x=4x^2-3

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Question 167001: 4x=4x^2-3
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Given: 4x=4x%5E2-3
Combine terms: 4x%5E2-4x-3=0, Working Eqn
Divide whole eqn by 4:
cross%284%29x%5E2%2Fcross%284%29-cross%284%29x%2Fcross%284%29-3%2F4=0%2F4
x%5E2-x-3%2F4=0---->By Pyth. Theorem
where ----system%28a=1%2Cb=-1%2Cc=3%2F4=0.75%29
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 , Plug in the values
ANSWER: 3%2F2 & -1%2F2
Check, go back working eqn, (use -1/2)
4%28-1%2F2%29%5E2-4%28-1%2F2%29-3=0
cross%284%29%281%2Fcross%284%29%29-cross%284%29%282%29%28-1%2Fcross%282%29%29-3=0
1-%28-2%29-3=0
1%2B2-3=0
3-3=0
Thank you,
Jojo