How do you factor #x^-4 -13x^-2 +36 =0#?
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Terminology: You can factor the expression on the left. You can solve the equation. You can solve an equation by factoring. (But you don't really factor an equation.)
So, is we use a new variable we'll have a quadratic expression.
Factor as above, so the question becomes:
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To factor x^-4 -13x^-2 +36 = 0, first, substitute y = x^-2. Then, rewrite the equation as y^2 - 13y + 36 = 0. Factor the quadratic equation as (y - 4)(y - 9) = 0. Substitute back x^-2 for y, resulting in two equations: x^-2 - 4 = 0 and x^-2 - 9 = 0. Solve for x to find the values of x that satisfy the original equation.
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When evaluating a one-sided 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 one-sided 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 one-sided 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 one-sided 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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