Home
Class 10
MATHS
Find the zeroes of the polynomial x^2-3a...

Find the zeroes of the polynomial `x^2-3`and verify the relationship between the zeroes and the coefficients.

Text Solution

Verified by Experts

`P(x)=x^2-3`
`x^2-3=0`
`(x)^2-(sqrt3)^2`
`(x-sqrt3)(x+sqrt3)=0`
`x=sqrt3,-sqrt3`
`alpha=sqrt3,beta=-sqrt3`
`alpha+beta=sqrt3-sqrt3=0`
`alpha*beta=sqrt3(-sqrt3)=-3`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the zeros of polynomial 6x^(2)-3-7x and verify the relationship between the zeros and their coefficients:

Find the zeros of the polynomial x^(2)-5 and verify the relationship between the zeros and co-efficient.

Find the zeros of the polynomial 2x^(2)+5x-12 and verify the relationship between its zeros and coefficients.

Find the zeros of the polynomial f(x)=x^(2)-2 and verify the relationship between its zeros and coefficients.

Find the zeros of polynomial h(t)=t^(2)-15 and verify the relationship between the zeros and their coefficients:

Find the zeros of polynomial f(x)=x^(2)-2x-8 and verify the relationship between the zeros and their coefficients:

Find the zeroes of the polynomial x^(2)+1/6 x-2 Hence verify the relationship between the zeroes and the coefficients.

Find the zeroes of the quadratic polynomial x^(2)-36 and verify the relationship between the zeroes and the coefficients .

Find the zeroes of the quadratic polynomial 3x^(2)-2 and verify the relationship between the zeroes and the coefficients .