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).
Learn more about the solution to the equation here:
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Answer:
x=±√66/6
Step-by-step explanation:
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The easiest way to compare fractions is by having a common denominator for both fractions.
This is because, when the denominator is the same in both fractions, we will simply compare the numerators and the greater fraction will be the one having greater numerator
Part 1:
The first given fraction is
The second given fraction is
We can make the denominator in the second one equal to 12 by multiplying it by 4.
However, to preserve the value of the fraction, we will multiply it by
This will give us:
* =
Now, the two fractions became and
The denominator is the same, so we will compare numerators.
Since 7 is greater than 4, therefore:
is the greater fraction
Part 2:
The first given fraction is
The second given fraction is
We can make the denominator in the second one equal to 12 by multiplying it by 4.
However, to preserve the value of the fraction, we will multiply it by
This will give us:
* =
Now, the two fractions became and
The denominator is the same, so we will compare numerators.
Since 8 is greater than 7, therefore:
is the greater fraction
Hope this helps :)