<PRE><B>Question 160696</B>
Solve: 10= ________
V 5m + 1 + 6
(10 equals the square root of 5m+1, plus 6)
:
We can write it:
10 = {{{sqrt(5m+1) + 6}}}
:
Subtract 6 from both sides; you have:
4 = {{{sqrt(5m+1)}}}
:
Square both sides, get rid of the radical
16 = 5m + 1
:
Subtract 1 from both sides:
15 = 5m
;
Divide both sides by 5
m = {{{15/5}}}
m = 3
:
:
Check solution in original equation:
10 = {{{sqrt(5(3) + 1) + 6}}}
:
10 = {{{sqrt(15+1) + 6}}}
:
10 = {{{sqrt(16) + 6}}}
:
10 = 4 + 6
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