After having squared both sides, I find it easier to not turn 1+x/16 into one large fraction but rather subtract 1 from both sides: 1 + x/16 = 9/4 | -1 x/16 = 5/4 Now, all we have to do is expand the numerator and denominator of the fraction on the right hand side by 4 in order to match the 16 in the denominator on the left hand side: x/16 = (5⋅4)/(4⋅4) = 20/16 Thus, x must be 20. 😀
After having squared both sides, I find it easier to not turn 1+x/16 into one large fraction but rather subtract 1 from both sides:
1 + x/16 = 9/4 | -1
x/16 = 5/4
Now, all we have to do is expand the numerator and denominator of the fraction on the right hand side by 4 in order to match the 16 in the denominator on the left hand side:
x/16 = (5⋅4)/(4⋅4) = 20/16
Thus, x must be 20. 😀