Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 17, 2023

Solve for $a$ in the equation $a^{2} + b^{2} = c^{2}$ , using the given flowchart.

STEP 1

Assumptions1. The equation is $a^{}+b^{}=c^{}$ . We need to make $a$ the subject of the equation

STEP 2

To make $a$ the subject of the equation, we need to isolate $a$ on one side of the equation. We can do this by subtracting $b^{2}$ from both sides of the equation.
$a^{2} = c^{2} - b^{2}$

STEP 3

Now, to solve for $a$ , we need to take the square root of both sides of the equation. The square root of $a^{2}$ is $a$ , and the square root of $c^{2} - b^{2}$ is $\sqrt{c^{2} - b^{2}}$ .
$a = \sqrt{c^{2} - b^{2}}$ So, $a$ is the subject of the equation $a^{2}+b^{2}=c^{2}$ .

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