Question

sum and product of roots of equation x^2-kx+k^2=0​

Answer 1

Answer:

Step-by-step explanation:

S = - (- k) / 1 = k

P = k^2 / 1 = k^2.

thus the sum of the roots is k and the Product of the roots is k^2.

Answer 2

Answer:

Sum of Roots = k

Product of Roots = k²

Step-by-step explanation:

We have been given the equation:-

x² - kx + k² = 0

We are required to find the sum of roots and the product of roots.

We know that sum of roots = $\dfrac{-b}{a}$

And product of roots = $\dfrac{c}{a}$

Here,

a = 1

b = -k

c = k²

Substitute the values:-

(a) Sum of Roots = $\dfrac{-(-k)}{1}$

                            = $\dfrac{k}{1}$

                            = $k$

(b) Product of Roots = $\dfrac{k^{2}}{1}$

                                 = $k^{2}$

So, the sum of roots is 'k' and the product of roots is 'k²' !