Advertisements
Advertisements
प्रश्न
If α, β are zeroes of quadratic polynomial 5x2 + 5x + 1, find the value of α–1 + β–1.
Advertisements
उत्तर
P(x) = 5x2 + 5x + 1
α + β = `(-b)/a = (-5)/5` = – 1
αβ = `c/a = 1/5`
α–1 + β–1 = `1/α + 1/β`
= `((α + β))/(αβ)`
= `((-1))/(1/5)`
= – 5
APPEARS IN
संबंधित प्रश्न
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
`g(x)=a(x^2+1)-x(a^2+1)`
If α and β are the zeros of the quadratic polynomial p(s) = 3s2 − 6s + 4, find the value of `alpha/beta+beta/alpha+2[1/alpha+1/beta]+3alphabeta`
Find a cubic polynomial whose zeroes are `1/2, 1 and -3.`
Find a cubic polynomial with the sum of its zeroes, sum of the products of its zeroes taken two at a time and the product of its zeroes as 5, -2 and -24 respectively.
On dividing `3x^3 + x^2 + 2x + 5` is divided by a polynomial g(x), the quotient and remainder are (3x – 5) and (9x + 10) respectively. Find g(x).
If two zeroes of the polynomial x3 + x2 − 9x − 9 are 3 and −3, then its third zero is
If one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is –1, then the product of the other two zeroes is ______.
Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials:
3x2 + 4x – 4
Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials:
`v^2 + 4sqrt(3)v - 15`
If p(x) = x2 + 5x + 6, then p(– 2) is ______.
