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OpenStudy (anonymous):
More complicated quadratic question....
Solve. Explain your steps.
d^4+32=12d^2
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OpenStudy (anonymous):
Your picture... :/
OpenStudy (anonymous):
This is the second time someone has commented on it in the last 10 minutes.....Its just a plant people lets be mature here.
OpenStudy (anonymous):
first lets summon all variables on the same side of equation
d^4-12d^2+32=0
OpenStudy (jdoe0001):
have you covered quadratic equations yet?
OpenStudy (anonymous):
then to make it perfect square, we need to add 4 to 32 but not to distorb the original equation we need to subtract 4 as well
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OpenStudy (anonymous):
I do not know how to solve quadratic equations what so ever.... Im horrible at them.
OpenStudy (anonymous):
d^4-12d^2+32+4-4=(d^4-12d^2+36)-4=0
OpenStudy (anonymous):
we can rewrite the paranthesis like (d^2-6)^2
OpenStudy (anonymous):
(d^2-6)^2-4=0 that is a perfect square as well
OpenStudy (anonymous):
so (d^2-6-2)(d^2-6+2)=0
to organize (d^2-8)(d^2-4)=0
either variables have to be equal to zero
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OpenStudy (anonymous):
d^2-8=0 d=2\[\sqrt{2}\]
d^2-4=0 d=2
OpenStudy (anonymous):
opps i mean \[2\sqrt{2}\]
OpenStudy (anonymous):
did you understand???
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