Solve 2u^2-90=0 where u is a real number.

Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
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To solve the equation 2u^2 - 90 = 0, we need to isolate the variable u.

First, add 90 to both sides of the equation:
2u^2 - 90 + 90 = 0 + 90
2u^2 = 90

Next, divide both sides of the equation by 2:
(2u^2)/2 = 90/2
u^2 = 45

To solve for u, we need to take the square root of both sides of the equation:
√(u^2) = ±√45
u = ±6.71

Therefore, the solutions to the equation 2u^2 - 90 = 0 are u ≈ ±6.71.