parabola equation

**rosana** · June 5th 2010, 06:35 PM

Hi everyone,
I have a simple question but I can't solve it
what is the intersection point between these two parabola
$y=x^2$
and
$x=4y-y^2$

Thanks for any kind of help.

**11rdc11** · June 5th 2010, 06:38 PM

Originally Posted by rosana

Hi everyone,
I have a simple question but I can't solve it
what is the intersection point between these two parabola
$y=x^2$
and
$x=4y-y^2$

Thanks for any kind of help.

$y=(4y-y^2)^2$

Now expand and solve

**rosana** · June 5th 2010, 07:17 PM

when I expand the equation $y=(4y-y^2)^2$
it will be
$y^4-8y^3+16y^2-y=0$
I know that $y=0$
but what about the other solution of the equation?

**11rdc11** · June 5th 2010, 07:51 PM

Originally Posted by rosana

when I expand the equation $y=(4y-y^2)^2$
it will be
$y^4-8y^3+16y^2-y=0$
I know that $y=0$
but what about the other solution of the equation?

Use the Intermediate Value Theorem

**rosana** · June 5th 2010, 08:53 PM

I know the meaning of intermediate value theorem is that there is apoint c in interval $[a,b]$ for a function f verifying
$f'(c)=(f(b)-f(a))/(b-a)$

How is this related to the solution of the equation?

**11rdc11** · June 5th 2010, 09:21 PM

Originally Posted by rosana

I know the meaning of intermediate value theorem is that there is apoint c in interval $[a,b]$ for a function f verifying
$f'(c)=(f(b)-f(a))/(b-a)$

How is this related to the solution of the equation?

College Algebra Tutorial on Zeros of Polynomial Functions, Part II

Thread: parabola equation

LinkBack

Thread Tools

Display

parabola equation

Similar Math Help Forum Discussions

Equation of parabola!

Equation of a parabola?????

Equation of a parabola

Parabola Equation

Equation of parabola

Search Tags