Julie L.
asked • 08/01/16Solve the quadratic equation 12x(squared)+x-1=0
Solve the quadric equation and solve for both expressions
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2 Answers By Expert Tutors
Neal D. answered • 08/01/16
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12x2 + x -1 =0
Factor the expression
( 3x + 1 ) ( 4x - 1) = 0
Set both expressions equal to zero
3x + 1 = 0 and 4x - 1 = 0
x = -1/3 x = 1/4
Michael J.
You might want to read other's solutions in order to avoid redundancies.
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08/01/16
Neal D.
Some students prefer a full explanation, not just a beginning statement!
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08/01/16
Michael J.
I always give full explanations. Just not to the point where I give them the complete and final answer, preventing them from thinking for themselves.
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08/01/16
Michael J. answered • 08/01/16
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This can also be solved by factoring the left side of equation using FOIL.
(4x - 1)(3x + 1) = 0
Now just set the factors equal to zero. Can you continue from here?
Julie L.
Yes, I can. Michael is a genius!!!
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08/01/16
Kenneth S.
FACTORING is the best thing to try, first. Only if not factorable should one use the quadratic formula (as a general 'rule of thumb.')
A small observation: Factoring is the inverse operation of FOIL.
The terms are not interchangeable.
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08/01/16
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Jason L.
08/01/16