SOLUTION: the square of a positive number is equal to 8 times the number increased by 20. find the number.
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Question 823647
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the square of a positive number is equal to 8 times the number increased by 20. find the number.
Answer by
mananth(16946)
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let the number be x
x^2 = 8x+20
x^2-8x-20=0
x^2-10x+2x-20=0
x(x-10)+2(x-10)=0
(x-10)(x+2)=0
x=10 OR -2
the number is positive so the number is 10