Answer :
Answer:
Answer: z = 5/2 or z = - 5/2 .
Explanation: Swap the sides: 4 z^2 = 25 Divide both sides of the equation by the coefficient of variable: z^2 = 25/4 Split into two equations: z = sqrt(dfrac25)4 or z = - sqrt(dfrac25)4 Rewrite the expression using sqrt[n](ab)=sqrt[n](a)·sqrt[n](b) : z = sqrt(25)/sqrt(4) Factor and rewrite the radicand in exponential form: z = sqrt(5^2)/sqrt(2^2) Simplify the radical expression: z = 5/2 Rewrite the expression using sqrt[n](ab)=sqrt[n](a)·sqrt[n](b) : z = - sqrt(25)/sqrt(4) Factor and rewrite the radicand in exponential form: z = - sqrt(5^2)/sqrt(2^2) Simplify the radical expression: z = - 5/2 Combine the results: z = 5/2 or z = - 5/2 Answer: z = 5/2 or z = - 5/2
