Question

c^2=√a^2-b^2
solve for c​

Answer 1

Answer:

$\large\boxed{c=\sqrt{a-b^2},c=-\sqrt{a-b^2}  }$

Step-by-step explanation:

To solve this problem, first you have to find the value of c. Isolate by the c on one side of the equation. You have to use radical rule and exponent rule.

Given:

c²=√a²-b²

Solutions:

First, use radical rule.

$\large\boxed{\textnormal{RADICAL RULE}}$

$\displaystyle \sqrt{D}=D^\frac{1}{2}$

$\displaystyle a(\frac{1}{2})^2$

$\large\boxed{\textnormal{EXPONENT RULE}}}$

$\displaystyle (a^b)^c=a^b^c$

$\displaystyle A^\frac{1}{2}^*^2$

Multiply numbers from left to right.

$\displaystyle \frac{1}{2}*2$

$\displaystyle \frac{1*2}{2}=\frac{2}{2}=1$

$\displaystyle=a$

Rewrite the whole problem down. (Refine.)

$\displaystyle c^2=a-b^2$

Solve.

$\large\boxed{c=\sqrt{a-b^2},c=-\sqrt{a-b^2}}$

In conclusion, the correct answer is c=√a-b² & c=-√a-b².