SOLUTION: {{{ 2sqrt(x+4)-1= x }}}

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Question 395018: +2sqrt%28x%2B4%29-1=+x+
Answer by jjordan95(63) About Me  (Show Source):
You can put this solution on YOUR website!
2sqrt%28x%2B4%29-1%2F2=x
sqrt%28x%2B4%29-1%2F2=x%2F2
sqrt%28x%2B4%29=x%2F2%2B1%2F2
x%2B4=%28x%2F2%2B1%2F2%29%5E2
x%2B4=x%5E2%2F4%2Bx%2F2%2B1%2F4
x%5E2%2F4%2Bx%2F2-15%2F4=0
From here, the easiest method would be to use the quadratic equation:
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
Your formula, x%5E2%2F4%2Bx%2F2-15%2F4 is in the form ax^2+bx+c.
So, a, b, and c are:
a=1%2F4
b=1%2F2
c=-15%2F4
From here, you just plug in a, b, and c into the quadratic formula.
I'll leave the rest to you.
Hope this helps,
J