Question

X/w=z/y^2 solve for y

Answer 1

Answer:

$\Large \boxed{\displaystyle y=\sqrt{\frac{z \cdot w}{x}}}$

Step-by-step explanation:

$\displaystyle \frac{x}{w} =\frac{z}{y^2 }$

Cross multiplication.

$x \cdot y^2 =z \cdot w$

Dividing both sides by $x$.

$\displaystyle \frac{x \cdot y^2 }{x} =\frac{z \cdot w}{x}$

$\displaystyle y^2 =\frac{z \cdot w}{x}$

Taking the square root of both sides.

$\displaystyle \sqrt{y^2 } =\sqrt{\frac{z \cdot w}{x}}$

$\displaystyle y=\sqrt{\frac{z \cdot w}{x}}$