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.
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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.
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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"
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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?
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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!
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OpenStudy (eyust707):
we cant get rid of that... we are ging to use it to make our analysis
OpenStudy (goldrush18):
oh ok