SOLUTION: Solve: 10= ________ V 5m + 1 + 6 (10 equals the square root of 5m+1, plus 6) Please help with this problem!

Algebra ->  Radicals -> SOLUTION: Solve: 10= ________ V 5m + 1 + 6 (10 equals the square root of 5m+1, plus 6) Please help with this problem!      Log On


   



Question 160696: Solve: 10= ________
V 5m + 1 + 6
(10 equals the square root of 5m+1, plus 6)
Please help with this problem!

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve: 10= ________
V 5m + 1 + 6
(10 equals the square root of 5m+1, plus 6)
:
We can write it:
10 = sqrt%285m%2B1%29+%2B+6
:
Subtract 6 from both sides; you have:
4 = sqrt%285m%2B1%29
:
Square both sides, get rid of the radical
16 = 5m + 1
:
Subtract 1 from both sides:
15 = 5m
;
Divide both sides by 5
m = 15%2F5
m = 3
:
:
Check solution in original equation:
10 = sqrt%285%283%29+%2B+1%29+%2B+6
:
10 = sqrt%2815%2B1%29+%2B+6
:
10 = sqrt%2816%29+%2B+6
:
10 = 4 + 6