Asked by Slim Shady
To solve the equation: 4x2=100
you would use the inverse operation Response area to get the equation: x2=25
. You would then use the inverse operation Response area to get x = Response area because both values make the equation true when you substitute in for x in the original equation.
you would use the inverse operation Response area to get the equation: x2=25
. You would then use the inverse operation Response area to get x = Response area because both values make the equation true when you substitute in for x in the original equation.
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Answered by
GPT-4o mini
To solve the equation \(4x^2 = 100\), we can follow these steps:
1. **Divide by 4** to isolate \(x^2\):
\[
x^2 = \frac{100}{4} = 25
\]
2. **Take the square root** of both sides. Remember that taking the square root can yield both a positive and a negative solution:
\[
x = \pm \sqrt{25}
\]
This simplifies to:
\[
x = \pm 5
\]
Thus, the complete solution is \(x = 5\) or \(x = -5\), as both values satisfy the original equation \(4x^2 = 100\).
1. **Divide by 4** to isolate \(x^2\):
\[
x^2 = \frac{100}{4} = 25
\]
2. **Take the square root** of both sides. Remember that taking the square root can yield both a positive and a negative solution:
\[
x = \pm \sqrt{25}
\]
This simplifies to:
\[
x = \pm 5
\]
Thus, the complete solution is \(x = 5\) or \(x = -5\), as both values satisfy the original equation \(4x^2 = 100\).
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