Solve the equation below.
2 answers:
Answer:
Option C is correct.
Step-by-step explanation:
We need to solve the equation below and find value of x
Cross multiply
x(x+4)=6x
x^2+4x=6x
x^2+4x-6x=0
x^2-2x=0
Taking x common
x(x-2)=0
x=0 and x-2 =0
x=0 and x= 2
Verify solutions
putting x=0
x+4/6(0) = 1/0
the solution is undefined.
Putting x = -2
2+4/6(2) = 1/2
2+4/12 = 1/2
6/12=1/2
1/2=1/2
the solution is defined.
The solutions is x=2 as for x=0 the solution is undefined.
So, Option C is correct.
Answer:
B. x=0,2
Step-by-step explanation:
(x+4) 1
-------- = -----
6x x
Using cross products
x * (x+4) = 1*6x
Distribute
x^2 +4x = 6x
Subtract 6x from each side
x^2 +4x-6x = 6x-6x
x^2 -2x = 0
Factor out an x
x (x-2) = 0
Using the zero product property
x=0 x-2 =0
x=0 x-2+2 =0+2
x =0 x=2
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Hope this helps!!