# 3z-1+2√z=32This equation gets solved when we assume the z as

by Kartik.
Tags: 2√z32this, assume, equation, solved
 P: 55 3z-1+2√z=32 This equation gets solved when we assume the z as any variable's2 and turn that into a quadratic form. Is there any other way of solving this equation?
P: 606
 Quote by Kartik. 3z-1+2√z=32 This equation gets solved when we assume the z as any variable's2 and turn that into a quadratic form. Is there any other way of solving this equation?

Well, when we square stuff, which ammounts to basically the same thing:

$3z-33=-2\sqrt{z}\Longrightarrow 9z^2-198z+1089=4z\Longrightarrow 9z^2-202z+1089=0\Longrightarrow z_1=13.444\,,\,\,z_2=9$ .

As many times with these exercises, only the second number above is a solution to the original equation.

DonAntonio
P: 55
 Quote by DonAntonio Well, when we square stuff, which ammounts to basically the same thing: $3z-33=-2\sqrt{z}\Longrightarrow 9z^2-198z+1089=4z\Longrightarrow 9z^2-202z+1089=0\Longrightarrow z_1=13.444\,,\,\,z_2=9$ . As many times with these exercises, only the second number above is a solution to the original equation. DonAntonio
Thanks :D
But, the assumption thing looks simple enough.

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