Problema Solution
If 6 times a number is decreased by 2, the principle square root of this difference is 3 less than the number. Find the number(s).
I was taking a test and got it wrong the answer is 11 and I don't understand how they got the answer, this is for an online class..
Please help
Answer provided by our tutors
let x = the number
6x - 2 = (x - 3)^2
and x - 3 > 0 since it is the principle square root
by solving we find
x = 11
x = 1 is not the answer because x - 3 = 1 - 3 = -2 < 0 and we need x - 3 >0
click here to see the step by step solution of the equation
indeed
6*11 - 2 = 64 = 8^2 = (11 - 3)^2
the number is 11.