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


by Kartik.
Tags: 2√z32this, assume, equation, solved
Kartik.
Kartik. is offline
#1
May4-12, 10:14 AM
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?
Phys.Org News Partner Mathematics news on Phys.org
Math modeling handbook now available
Hyperbolic homogeneous polynomials, oh my!
Researchers help Boston Marathon organizers plan for 2014 race
DonAntonio
DonAntonio is offline
#2
May4-12, 10:29 AM
P: 606
Quote Quote by Kartik. View Post
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:

[itex]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[/itex] .

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

DonAntonio
Kartik.
Kartik. is offline
#3
May4-12, 11:21 AM
P: 55
Quote Quote by DonAntonio View Post
Well, when we square stuff, which ammounts to basically the same thing:

[itex]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[/itex] .

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.


Register to reply

Related Discussions
Quadratics homework help Precalculus Mathematics Homework 3
Using quadratics Introductory Physics Homework 1
quadratics of quadratics General Math 2
Quadratics Precalculus Mathematics Homework 5
Quadratics Introductory Physics Homework 6