Kent multiplies both sides of the equation below by an expression. k + StartFraction 12 Over k EndFraction = 8 Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now? k squared minus 8 k minus 12 = 0 k squared + 8 k + 12 = 0 k squared minus 8 + 12 = 0 k squared minus 8 k + 12 = 0

Question

Mathematics

Konnor Cobb

16 September, 11:51

Kent multiplies both sides of the equation below by an expression. k + StartFraction 12 Over k EndFraction = 8 Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now? k squared minus 8 k minus 12 = 0 k squared + 8 k + 12 = 0 k squared minus 8 + 12 = 0 k squared minus 8 k + 12 = 0

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Answers (1)

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Guillermo Leon · Answer 1

k^2-8k+12=0D

Step-by-step explanation:

Explanation:

1) Given equation:

k+12/k=8

2) Multiplication property of equality:

k (k+12/k) = 8k

3) Distributive property:

k^2+12k/k=8k

4) Simplification:

k^2+12=8k

5) Subtraction property of equality:

k^2-8k+12=0