solve : x/2 + 2/3 x + 3/2 = 1/4
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Step-by-step explanation:
Given, x=2+2
2/3
+2
1/3
⇒(x−2)=2
2/3
+2
1/3
⇒(x−2)=2
2/3
+2
1/3
On cubing both sides, we get
(x−2)
3
=2
2
+2+3⋅2
2/3
⋅2
1/3
(2
2/3
+2
1/3
)
⇒x
3
−6x
2
+12x−8=4+2+3×2×(x−2)
⇒x
3
−6x
2
+6x=2.
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