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10 votes
10 votes
2X/x+2 = - (6/x+4)

This is a problem which I think I’m supposed to get a form like x^2+x+1

User Olegr
by
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2 Answers

17 votes
17 votes

Answer:

x = - 6, x = - 1

Explanation:


(2x)/(x+2) = -
(6)/(x+4) ( cross- multiply )

2x(x + 4) = - 6(x + 2) ← distribute parenthesis on both sides )

2x² + 8x = - 6x - 12 ( subtract - 6x - 12 from both sides )

2x² + 14x + 12 = 0 ( divide through by 2 )

x² + 7x + 6 = 0 ← in standard form

(x + 6)(x + 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x + 1 = 0 ⇒ x = - 1

User Mchinaloy
by
3.2k points
17 votes
17 votes

Explanation:

it's 2x²+8x

and I cannot understand your question

User Darkman
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3.0k points