SOLUTION: Twice the square of a positive integer is 12 more than 10 times that integer. What is the integer?
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Question 113416
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Twice the square of a positive integer is 12 more than 10 times that integer. What is the integer?
Answer by
edjones(8007)
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Let x be the integer.
2x^2=10x+12
x^2=5x+6 divide each side by 2.
x^2-5x-6=0
(x-6)(x+1)=0
x=6
Check:
2*6^2=10*6+12 true
Ed