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" (8) "v^(2)+4sqrt(3)v-15...

" (8) "v^(2)+4sqrt(3)v-15

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Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials (viii) v^(2)+4sqrt(3)v -15

Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials (viii) v^(2)+4sqrt(3)v -15

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients of the polynomial : v^(2)+4 sqrt(3)v- 15

Find the zeros of these polynomials and verify the relationship between zeros and coefficients. i] f(x) = x^(2) - (sqrt(3) + 1) x + sqrt(3) ii] f(v) = v^(2) + 4 sqrt(3) v - 15 iii] q(y) = 7y^(2) (11)/(3) y - (2)/(3)

" (v) "int(1)/(sqrt(x-3)-sqrt(x+2))dx

If l is the length of a diagonal of a cube of volume V, then (a) 3V=l^3 (b) sqrt(3)\ V=l^3 (c) 3sqrt(3)\ V=2l^3 (d) 3sqrt(3)\ V=l^3

Rationales the denominator and simplify: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) (ii) (5+2sqrt(3))/(7+4sqrt(3)) (iii) (1+sqrt(2))/(3-2sqrt(2)) (2sqrt(6)-sqrt(5))/(3sqrt(5)-2sqrt(6)) (v) (4sqrt(3)+5sqrt(2))/(sqrt(48)+sqrt(18)) (vi) (2sqrt(3)-sqrt(5))/(2sqrt(3)+3sqrt(3))

Given x, y in R , x^(2) + y^(2) gt 0 . Then the range of (x^(2) + y^(2))/(x^(2) + xy + 4y^(2)) is (a) ((10 - 4 sqrt(5))/(3),(10 + 4 sqrt(5))/(3)) (b) ((10 - 4 sqrt(5))/(15),(10 + 4 sqrt(5))/(15)) (c) ((5- 4 sqrt(5))/(15),(5 + 4 sqrt(5))/(15)) (d) ((20- 4 sqrt(5))/(15),(20 + 4 sqrt(5))/(15))