1 divided by 2 minus square root of 3 space f i n d space t h e space v a l u e space o f space x cubed minus 2 x squared minus 7 x plus 5

Asked by KALAPANA.KOTAK | 15th Jul, 2014, 09:55: PM

Expert Answer:

L e t space x equals fraction numerator 1 over denominator 2 minus square root of 3 end fraction equals fraction numerator 1 over denominator 2 minus square root of 3 end fraction cross times fraction numerator 2 plus square root of 3 over denominator 2 plus square root of 3 end fraction equals 2 plus square root of 3 W e space n e e d space t o space f i n d space t h e space v a l u e space o f space x cubed minus 2 x squared minus 7 x plus 5 L e t space f open parentheses x close parentheses equals x cubed minus 2 x squared minus 7 x plus 5 T h u s comma space w e space h a v e comma f open parentheses fraction numerator 1 over denominator 2 minus square root of 3 end fraction close parentheses equals f open parentheses 2 plus square root of 3 close parentheses equals open parentheses 2 plus square root of 3 close parentheses cubed minus 2 open parentheses 2 plus square root of 3 close parentheses squared minus 7 open parentheses 2 plus square root of 3 close parentheses plus 5 equals open parentheses 2 plus square root of 3 close parentheses open square brackets open parentheses 2 plus square root of 3 close parentheses squared minus 2 open parentheses 2 plus square root of 3 close parentheses minus 7 close square brackets plus 5 equals open parentheses 2 plus square root of 3 close parentheses open square brackets 4 plus 3 plus 4 square root of 3 minus 4 minus 2 square root of 3 minus 7 close square brackets plus 5 equals open parentheses 2 plus square root of 3 close parentheses open square brackets 2 square root of 3 minus 4 close square brackets plus 5 equals 4 square root of 3 minus 8 plus 6 minus 4 square root of 3 plus 5 equals minus 2 plus 5 equals 3

Answered by Vimala Ramamurthy | 16th Jul, 2014, 11:31: AM