SOLUTION: five times the square root of 1 less than a number is equal to 3 more than te number . find the number.

Question 937803: five times the square root of 1 less than a number is equal to 3 more than te number . find the number.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
five times the square root of 1 less than a number is equal to 3 more than the number .
find the number.
:
Write an equation for exctly for what it says

square both sides
25(x-1) = (x + 3)^2
FOIL (x+3)(x+3)
25x - 25 = x^2 + 6x + 9
Combine like terms on the right
0 = x^2 + 6x - 25x + 9 + 25
0 = x^2 - 19x + 34
Factors to
(x-17)(x-2) = 0
Two solutions
x = 17
and
x = 2
:
We must check both solutions in the original equation

5*4 = 20; a good solution
and

5 * 1 = 5; also a good solution
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