Advertisements
Advertisements
प्रश्न
Find the sum and product of the roots of the quadratic equation 2x2 – 9x + 4 = 0.
Advertisements
उत्तर
2x2 – 9x + 4 = 0
Sum of roots = `(- "Coefficient of" x)/("Coefficient of" x^2)`
= `(-(-9))/2`
= `9/2`
Product of roots = `"Constant term"/("Coefficient of" x^2)`
= `4/2`
= 2
APPEARS IN
संबंधित प्रश्न
If α and β are the zeros of the quadratic polynomial f(x) = 6x2 + x − 2, find the value of `alpha/beta+beta/alpha`.
If 𝛼 and 𝛽 are the zeros of the quadratic polynomial f(x) = x2 − 5x + 4, find the value of `1/alpha+1/beta-2alphabeta`
Find the quadratic polynomial, sum of whose zeroes is 0 and their product is -1. Hence, find the zeroes of the polynomial.
Find the quadratic polynomial, sum of whose zeroes is `sqrt2` and their product is `(1/3)`.
If f(x) = `x^4– 5x + 6" is divided by g(x) "= 2 – x2`
If 𝛼, 𝛽 are the zeroes of the polynomial f(x) = x2 + x – 2, then `(∝/β-∝/β)`
Check whether g(x) is a factor of p(x) by dividing polynomial p(x) by polynomial g(x),
where p(x) = x5 − 4x3 + x2 + 3x +1, g(x) = x3 − 3x + 1
If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms.
If α and β are the zeros of a polynomial f(x) = px2 – 2x + 3p and α + β = αβ, then p is ______.
Find a quadratic polynomial whose zeroes are 6 and – 3.
