Problem

\( 32^{2}+x^{2}=40^{2} \)

Answer

Expert–verified
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Answer

\( x = \pm 24 \)

Steps

Step 1 :\( x^{2} = 40^{2} - 32^{2} \)

Step 2 :\( x^{2} = 1600 - 1024 \)

Step 3 :\( x^{2} = 576 \)

Step 4 :\( x = \pm\sqrt{576} \)

Step 5 :\( x = \pm 24 \)

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