Solve the equation k(k- 6) = 14-k.

Mathematics

2 answers:

Vitek1552 [10]4 years ago

3 0

Answer: k^2=5k-14=0 is the answer

padilas [110]4 years ago

3 0

Answer:

k = - 2, k = 7

Step-by-step explanation:

Given

k(k - 6) = 14 - k ← distribute left side

k² - 6k = 14 - k ( subtract 14 - k from both sides )

k² - 5k - 14 = 0 ← in standard form

(k - 7)(k + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 7 = 0 ⇒ x = 7

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sertanlavr [38]

Answer:

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Step-by-step explanation:

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