Latest SSC Aptitude Question SOLUTION: If X = 2 - 2^(2/3) + 2^(1/3) , X3-6X2+18X-18 is

• Placement Papers
• /
• SSC
• /
• Numerical Ability
• /
• Algebra

SSC Question Papers:

(#M40154869) SSC Numerical Ability question Algebra Keep an EYE

If X = 2 - 2^(2/3) + 2^(1/3) , X3-6X2+18X-18 is

Asked In SSC Hari (9 years ago)

Unsolved Read Solution (2)

Is this Puzzle helpful?   (4)   (1) Submit Your Solution Algebra

Read Solution (2) :

Rishu  (8 years ago)

X=2-2^(2/3)+2^(1/3)
X-2=2^(1/3)-2^(2/3)....(1)

X^3-6X^2+18X-18=[((X-2)^3)-(X^3-8-6X^2+12X)+(X^3-6X^2+18X-18)].....[Since (X-2)^3=X^3-8-6X^2+12X]
X^3-6X^2+18X-18=(X-2)^3+6X-10.....(2)

(X-2)^3=(2^(1/3)-2^(2/3))^3
(X-2)^3=(2^(1/3))^3-(2^(2/3))^3-3*(2^(1/3))*(2^(2/3))*(2^(1/3)-2^(2/3))
(X-2)^3=2-4-6*(2^(1/3)-2^(2/3))
(X-2)^3=2-4-6(X-2).....From(1)
(X-2)^3=2-4-6X+12
(X-2)^3=10-6X
(X-2)^3+6X-10=0
X3-6X2+18X-18=0.....From(2)

Is this solution Helpfull? Yes (1) | No   

Rishu  (8 years ago)

X=2-2^(2/3)+2^(1/3)
X-2=2^(1/3)-2^(2/3)..........................................................................................................................................(1)

X^3-6X^2+18X-18=[((X-2)^3)-(X^3-8-6X^2+12X)+(X^3-6X^2+18X-18)]...........[Since (X-2)^3=X^3-8-6X^2+12X]
X^3-6X^2+18X-18=(X-2)^3+6X-10....................................................................................................................(2)

(X-2)^3=(2^(1/3)-2^(2/3))^3
(X-2)^3=(2^(1/3))^3-(2^(2/3))^3-3*(2^(1/3))*(2^(2/3))*(2^(1/3)-2^(2/3))
(X-2)^3=2-4-6*(2^(1/3)-2^(2/3))
(X-2)^3=2-4-6(X-2)...................................................................................................................................From(1)
(X-2)^3=2-4-6X+12
(X-2)^3=10-6X
(X-2)^3+6X-10=0
X3-6X2+18X-18=0....................................................................................................................................From(2)

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.