F4 Math find real root(s)

2010-04-25 8:03 pm
Find the real root(s) of the following equation.

Question: http://img293.imageshack.us/i/78492738.jpg/

Ans: 3

回答 (1)

2010-04-25 8:16 pm
✔ 最佳答案
2x = 1 + (7x + 4)^0.5
2x - 1 = (7x + 4)^0.5
4x^2 - 4x + 1 = 7x + 4
4x^2 - 11x - 3 = 0
(4x + 1)(x - 3) = 0
x = - 1/4 or x = 3
sub x = - 1/4 to 2x = 1 + (7x + 4)^0.5 ,
LHS = - 1/2 , RHS = 5/2
LHS <> RHS
So x = 3


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