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How do you solve the rational equation #5 / (x+4) = 4 + 3/ (x-2)#?

Answer 1
Eva AdamsonEva Adamson

#x=1# or x=-5/2#

Multiplying the whole equation by #(x-2)(x+4)ne 0# we get #5(x-2)=4(x-2)(x+4)+3(x+4)# expanding #5x-10=4x^2+8x-32+3x+12#
#0=4x^2+6x-10#
#0=x^2+3/2x-5/2#
#x_(1,2)=-3/4pmsqrt(9/16+40/16)# so #x=1# or
#x=5/2#
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Answer 2
Isaiah AnthonyIsaiah Anthony

To solve the rational equation 5 / (x+4) = 4 + 3/ (x-2), you can start by finding a common denominator for both sides of the equation. Multiply both sides by (x+4)(x-2) to eliminate the denominators. Simplify the equation and solve for x.

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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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