The solution to the equation 6x² - 12 = -1 is x = ±√(11/6). The correct option is A.
A solution to an equation is a number that can be substituted for the variable to provide a true number statement.
The given equation is as follows:
6x² - 12 = -1
To solve for x, we will first isolate the variable term by adding 12 to both sides of the equation.
6x² - 12 = -1
6x² = 11
Next, we will divide both sides by 6 to get x² by itself.
6x²/6 = 11/6
x² = 11/6
Take the squareroot of both sides of the equation.
We need to include both the positive and negative square roots because x² can be positive or negative.
x = ±√(11/6)
Therefore, the solution to the equation 6x² - 12 = -1 is x = ±√(11/6).
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Answer:
x=±√66/6
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