Question

Make the subject of
(x+t)²
10
wy

Answer 1

Answer:
`x = √(10wy) - t`

Explanation:

wy =
`((x + t )^(2) )/(10)`

10wy = (x + t )²

`√(10wy)` = x + t

`√(10wy) - t` = x

Answer 2

`x=-t-√(10wy), \;\; x=-t+√(10wy)`

Explanation:

Given equation:

`wy=((x+t)^2)/(10)`

Rearrange the given equation to make x the subject.

Multiply both sides by 10:

`\implies 10 \cdot wy=10 \cdot ((x+t)^2)/(10)`

`\implies 10wy=(x+t)^2`

`\implies (x+t)^2=10wy`

`\textsf{For\;\;$(g(x))^2=f(a)$\;\;the\;solutions\;are\;\;$g(x)=√(f(a)), \; -√(f(a))$}.`

Square root both sides:

`\implies x+t=\pm√(10wy)`

`\implies x=-t\pm√(10wy)`

Therefore:

`x=-t-√(10wy), \;\; x=-t+√(10wy)`