If x=\sqrt^3{x^2+11}-2, then the value of x^3+5x^2+12x is

RRB Junior Engineer Stage 1 Model Papers 8

Question : 22 of 100

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x=√^3{x^2+11}-2

, then the value of

x^3+5x^2+12x

Solution:

x=√^3{x^2+11}-2

(x+2)=√^3{x^2+11}

(Cubing both sides)

(x+2)^3=x^2+11

x^3+8+6x^2+12x=x^2+11

x^3+5x^2+12x=3

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