Solve the following equations:
x^2 = 108 (Give your answers correct to one decimal place.)
+ or - sqrt (108)
sqrt12 x sqrt 9= 3sqrt12= 3 sqrt4 sqrt 3= 6sqrt3...put into a calculator for the decimal answer
To solve the equation x^2 = 108, we can use the square root method. Here's the step-by-step process:
1. Start with the equation x^2 = 108.
2. Take the square root of both sides of the equation to isolate x:
√(x^2) = √108.
3. Simplify the square root of 108:
x = ±√108.
4. Evaluate the square root of 108 using a calculator or simplify it manually:
x ≈ ±10.4
Therefore, the solutions to the equation x^2 = 108, correct to one decimal place, are approximately x = 10.4 and x = -10.4.