Question

Make x the subject of the formula:

ax^2 + bx^2 - d^2 = p^2

Answer 1

to make x as the subject u have to keep all terms containing x on oe side of the equality
ax^2 + bx^2 - d^2 = p^2
ax^2 + bx^2 = p^2+d^2
or X^2(a+b)=p^2+d^2
or x^2 = (p^2+d^2)/(a+b)
or x = sqrt ((p^2+d^2)/(a+b) )

Answer 2

\[ax² + bx² - d² = p²\]
Taking d² to the other side:
\[ax²+ bx² = p²+d²\]
Factorizing the L.H.S:
\[ x²(a+b)=p²+d²\]
Now we take (a+b) to the other side, and since its being multiplied on the L.H.S when taken to the R.H.S it will be divided:
\[ x²=\frac{p²+d² }{(a+b)}\]
But we only want x as the subject of the formula not x², therefore we square root the R.H.S, like so:
\[ x=\sqrt{\frac{p²+d² }{(a+b)}}\]

Answer 3

Thanks! :)

Answer 4

No problem!(: