Question 543262
{{{d = sqrt(-144 + 16a^2)}}}
a > 3, to prevent having the square root of a negative number.
:
Assume they want you to solve for a
square both sides and write it like this
-144 + 16a^2 = d^2
16a^2 = d^2 + 144
:
Divide both sides by 16
a^2 = {{{((d^2+144))/16}}}
:
Square both sides and you have
a = {{{sqrt(((d^2+144))/16)}}}
:
Extract the square root of 1/16
a = {{{1/4}}}*{{{sqrt(d^2+144)}}}