3/4x2 -x-1=0 solve equation using quadratic formula
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Given equation is
x+1
x−1
+
x−4
x−3
=
3
10
⇒
(x+1)(x−4)
(x−1)(x−4)+(x−3)(x+1)
=
3
10
⇒
x
2
−4x+x−4
x
2
−4x−x+4+x
2
+x−3x−3
=
3
10
⇒
x
2
−3x−4
2x
2
−7x+1
=
3
10
⇒ 6x
2
−21x+3=10x
2
−30x−40
⇒ 4x
2
−9x−43=0
⇒ a=4,b=−9,c=−43
⇒ x=
2a
−b±
b
2
−4ac
=
2(4)
−(−9)±
(−9)
2
−4(4)(−43)
=
8
9±
769
∴ x=
8
9+
769
and x=
8
9−
769
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