solve this equation x/x-3+4(x-3/x)=4
Answers
Step-by-step explanation:
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
(
x
−
3
)
⋅
4
=
3
⋅
(
x
+
4
)
Solve the equation for
x
.
Tap for fewer steps...
Simplify
(
x
−
3
)
⋅
4
.
Tap for more steps...
4
x
−
12
=
3
⋅
(
x
+
4
)
Simplify
3
⋅
(
x
+
4
)
.
Tap for more steps...
4
x
−
12
=
3
x
+
12
Move all terms containing
x
to the left side of the equation.
Tap for more steps...
x
−
12
=
12
Move all terms not containing
x
to the right side of the equation.
Tap for more steps...
x
=
24
Answer:
6
Step-by-step explanation:
x/x-3 +4(x-3)/x -4 =0
taking LCM
x^2 +4(x-3)^2 -4x(x-3) =0
simplifing..
x^2 +4x^2 +36-24x-4x^2+12x=0
x^2-12x+36=0
factorising..
(x-6)(x-6)=0
This gives the answer x=6