How do you solve #(6/(x^21))  (1/(x+1)) = 1/2#?
We can use this to our advantage
Write the given equation as:
By substitution this is
Multiply both sides by 2
Completing the square method (skipping many steps)
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To solve the equation (6/(x^21))  (1/(x+1)) = 1/2, we can follow these steps:

Find a common denominator for the fractions on the left side of the equation. The common denominator is (x^21)(x+1).

Multiply each term by the common denominator to eliminate the fractions.

Simplify the equation by distributing and combining like terms.

Rearrange the equation to isolate the variable, x.

Solve the resulting quadratic equation by factoring or using the quadratic formula.

Check the solutions obtained by substituting them back into the original equation to ensure they satisfy the equation.
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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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