Solve the equation. If necessary round to the nearest hundredth.
9x^2- 21 = 0
To solve the equation, we have to isolate the variable x.
Starting with the equation 9x^2 - 21 = 0, we can add 21 to both sides of the equation to eliminate the constant term:
9x^2 = 21.
Next, divide both sides of the equation by 9 to isolate x^2:
x^2 = 21/9.
Simplifying the right side of the equation gives us:
x^2 = 7/3.
Now, to solve for x, we need to take the square root of both sides of the equation:
√(x^2) = √(7/3).
Remembering that the square root has both positive and negative values, we get two possible solutions:
x = ±√(7/3).
Rounding to the nearest hundredth gives us:
x ≈ ±1.53.
Therefore, the solutions to the equation 9x^2 - 21 = 0 are approximately x ≈ 1.53 and x ≈ -1.53.