Respuesta :

k = 4pq^2 //Divide both sides by 4p

k/4p = q^2 //Square root on both sides

+- √(k / 4p) = q

q = √k / 2√p and - √k / 2√p

The value of q is  ± [tex]\frac{\sqrt{k} }{2\sqrt{p} }[/tex]

What is an equation?

An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.  

How to solve the given equation?

According to the problem,

 k = 4pq²

⇒ q² = [tex]\frac{k}{4p}[/tex]

⇒ q =  ± [tex]\sqrt{\frac{k}{4p} }[/tex] = ± [tex]\frac{\sqrt{k} }{2\sqrt{p} }[/tex]

Find more details about "Equations" here : https://brainly.com/question/1214333

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