Subjects algebra

Simple Equation

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Simple Equation


1. We are given the equation $a - b = c^2$. 2. This equation states that the difference between $a$ and $b$ equals the square of $c$. 3. If we want to solve for any variable, we can isolate it. 4. For example, to solve for $a$, add $b$ to both sides: $$a = b + c^2$$ 5. To solve for $b$, subtract $c^2$ from both sides: $$b = a - c^2$$ 6. To solve for $c$, note that $c^2 = a - b$, so: $$c = \pm\sqrt{a - b}$$ This gives two possible values for $c$, the positive and negative square roots of $a - b$. 7. These forms allow you to find any variable when the others are known.