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X divided by x+3 equals 4 divided by x+5

User Cegas
by
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1 Answer

3 votes

Answer:

x=-4, 3.

Explanation:

x/(x+3)=4/(x+5)

cross product

4(x+3)=x(x+5)

4x+12=x^2+5x

x^2+5x-4x-12=0

x^2+x-12=0

factor out the trinomial,

(x+4)(x-3)=0

zero property,

x+4=0, x-3=0,

x=0-4=-4

x=0+3=3

User Geoff Norton
by
5.4k points