Use any method to solve the equation. If necessary, round to the nearest hundredth.
11x2 = 8
If you mean
11 x^2 = 8
then x^2 = 8/11
x = 2 sqrt(2/11) = 0.85
To solve the equation 11x^2 = 8, we need to isolate the variable x. Here's how you can do it:
1. Start by dividing both sides of the equation by 11 to isolate x^2:
(11x^2)/11 = 8/11
This simplifies to:
x^2 = 8/11
2. To solve for x, take the square root of both sides of the equation:
√(x^2) = √(8/11)
Remember that the square root has both positive and negative solutions.
3. Simplify the square root expression:
x = ±√(8/11)
(√(8/11) is equivalent to √8/√11)
4. Calculate the square root of 8 and 11:
x ≈ ±0.9487 / √11
5. To round the answer to the nearest hundredth, apply the rounding rule: if the next decimal digit is 5 or greater, round up; if it is less than 5, round down.
x ≈ ±0.94 / √11
So, the approximate solutions to the equation 11x^2 = 8 are x ≈ ±0.94 / √11 when rounded to the nearest hundredth.