Solving Quadratic equations by factorization method . 4/x-2-4/x+3=4/2x+1
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Answer:
4x−3
−10(
4x−3
2x+1
)=3 x
=
2
−1
,
4
3
On solving this we get
(2x+1)(4x−3)
(4x−3)
2
−10(2x+1)
2
=3
16x
2
+9−24x−40x
2
−10−40x=3(8x
2
−2x−3)
16x
2
−40x
2
−24x
2
−24x−40x+6x+9−10+9=0
−48x
2
−58x+8=0
48x
2
+58x−8=0
⇒48x
2
+58x−8=0 On dividing by 2
24x
2
+29x−4=0
x=
48
−29±
1225
=
48
−29±35
x=
48
6
,
48
−64
Hence values of x are (
8
1
,
3
−2
).
Step-by-step explanation:
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