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Mathematics 22 Online
OpenStudy (goldrush18):

Determine the values of the real number h for which the roots of the quadratic equation 4x^2-2hx+(8-h)=0 are real.

OpenStudy (goldrush18):

i need help!!

OpenStudy (eyust707):

I would use the quadratic formula..

OpenStudy (goldrush18):

what answers would i get

OpenStudy (eyust707):

you will learn that the answer is of the least importance.. What matters is the method!

OpenStudy (eyust707):

Ans thats what open study is all about! I teach you how if you would like.

OpenStudy (goldrush18):

can u teach me please

OpenStudy (eyust707):

sure!

OpenStudy (eyust707):

have you learned the quadratic formula?

OpenStudy (goldrush18):

yes i have

OpenStudy (eyust707):

"x equals negitive b plus or minus the square root b squared minus of four a c all over two a"

OpenStudy (goldrush18):

in this case what would b the value for c

OpenStudy (eyust707):

\[x = (-b \pm \sqrt{b^2 - 4 *a *c})/2a\]

OpenStudy (eyust707):

well that equation uses this: \[ax^2 +bx +c = 0\]

OpenStudy (eyust707):

a is whatever is in fron of the x^2

OpenStudy (eyust707):

so what is a?

OpenStudy (goldrush18):

a is 4

OpenStudy (eyust707):

b is whatever is in front of x...

OpenStudy (eyust707):

so what is b?

OpenStudy (goldrush18):

-2

OpenStudy (eyust707):

what about the h? that is in front of x too!

OpenStudy (eyust707):

we cant get rid of that... we are ging to use it to make our analysis

OpenStudy (goldrush18):

oh ok

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