To solve the equation 2x2 = 128, we will follow these steps:
- Isolate the variable: First, we need to get rid of the coefficient in front of the x2 term. We can do this by dividing both sides of the equation by 2:
- x2 = 64
- Take the square root: Now that we have x2 = 64, we can find the value of x by taking the square root of both sides:
- x = ±√64
- Therefore, x = ±8.
In conclusion, the solutions for the equation 2x2 = 128 are:
- x = 8
- x = -8
Make sure to check your solutions by substituting them back into the original equation:
- For x = 8:
2(8)2 = 2(64) = 128, which is correct. - For x = -8:
2(-8)2 = 2(64) = 128, which is also correct.
So both solutions are valid!