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Question
given f(t)=(2t-3)^2 find the sum of all values t that satisfy f(t)=3/4. is the answer o?
Hello again Tara,
We have: (2t-3)^2=3/4
==> 4t^2-12t+9=3/4
==> 16t^2-48t+36=3
==> 16t^2-48t+33=0
==> t^2-3t+33/16=0
We can solve this to get the two solutions, then add
them...BUT, we know that the sum of the roots is equal
to the negative of the coefficient of "t"...thus, the
sum of the roots is -(-3)=+3
OK?
Abe
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Algebra
Answers by Expert:
Abe Mantell
Expertise
Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!
Experience
Over 15 years teaching at the college level.
Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.
Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook
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