Question 174436: Three times the square of the number when added to seven times the number result in 26.What is the number ? Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! Three times the square of the number when added to seven times the number result in 26.What is the number ?
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Let x = the number
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3x^2 + 7x = 26
3x^2 + 7x - 26 = 0
(3x+13)(x-2) = 0
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Setting each term to zero:
(3x+13) = 0
3x = -13
x = -13/3
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(x-2) = 0
x = 2
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Solution set:
x = {2, -13/3}
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Tossing out the negative fraction leaves us with:
x = 2
