To solve the equation: 4x2=100

Question

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.

Answer 1

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 \(4x^2 = 100\).