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Algebra/Quadratic equations

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Expert: - 1/22/2004


Question
How do I start to solve the equation

(7t + 6)^2 = 19

Answer
Hello Kim,

Two ways of doing this that are OK...
1. expand the left hand side to get: 49t^2+84t+36=19
  then 49t^2+84t+17=0, and now use the quadratic formula.
OR
2. just take the square root of both sides:
  7t+6="+ or - "sqrt(19)
  7t=-6"+ or -"sqrt(19)
  thus, t=[-6"+ or -"sqrt(19)]/7

OK?

TTYL, Abe

Algebra

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Volunteer

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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