How do you solve #-4/x = 1/3x - 10 #?

Answer 1

Put everything on an equal denominator and solve for x.

3x would be the lowest common denominator in this equation.

#-4/x# = #1/3x# - 10
#-(4(3))/(3x)# = #(x(x))/(3x# - #(10(3x))/(3x)#

We can eliminate the denominators at this point and solve the resulting quadratic equation since everything is on an equal denomiator.

-12 = #x^2# - 30x
0 = #x^2# - 30x + 12

You will obtain approximate solutions of x = 29.5945 and x = 0.4055 after using the quadratic formula. Be aware, though, that your teacher might want you to leave the answer in radical form.

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Answer 2

To solve the equation -4/x = 1/3x - 10, first, multiply both sides of the equation by 3x to clear the fractions. Then, solve for x. The solution is x = -12.

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Answer from HIX Tutor

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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