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\sqrt{100-4x^2}=6
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User Simha
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1 Answer

4 votes

Answer:

\(\sqrt{100 - 4x^2} = 6\) are \(x = 4\) and \(x = -4\)

Explanation:

To solve the equation \(\sqrt{100 - 4x^2} = 6\), follow these steps:

1. Square both sides of the equation to eliminate the square root:

\[100 - 4x^2 = 6^2\]

\[100 - 4x^2 = 36\]

2. Subtract 100 from both sides:

\[-4x^2 = -64\]

3. Divide both sides by -4:

\[x^2 = 16\]

4. Take the square root of both sides:

\[x = \pm 4\]

So, the solutions for the equation \(\sqrt{100 - 4x^2} = 6\) are \(x = 4\) and \(x = -4\).

User Teresita
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