How do you solve #(3/4)x^2 + 2 = 0 #?
You can simplify this by rationalizing the denominator
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To solve the equation (3/4)x^2 + 2 = 0:

Subtract 2 from both sides to isolate the term (3/4)x^2: (3/4)x^2 = 2

Divide both sides by (3/4) to solve for x^2: x^2 = (2) / ((3/4))

Simplify the expression on the right side: x^2 = (2) / (3/4) x^2 = 2 * (4/3)

Further simplify the expression: x^2 = 8/3

Take the square root of both sides to solve for x: x = ± √(8/3)

Simplify the square root: x = ± √(8/3) x = ± √(8) / √(3) x = ± √(8) / √(3) * (√(3) / √(3)) x = ± (√(8 * 3) / 3) x = ± (√24 / 3) x = ± (√(4 * 6) / 3) x = ± (√4 * √6 / 3) x = ± (2√6 / 3)
Therefore, the solutions to the equation (3/4)x^2 + 2 = 0 are: x = (2√6) / 3 and x = (2√6) / 3.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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