Question

the sum of zeroes of a quadratic polynomial kx^2-3x+1 is 1 , find the value of k.

Answer 1

Answer:

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ans:- K = 3

Answer 2

Given: The quadratic equation is  kx²-3x+1

Sum of its zeros is 1

To Find : the value of k

Solution:

The standard form in when a quadratic equation can be expressed is

ax² + bx + c = 0

So on comparing kx²-3x+1  with ax² + bx + c

We get, a = k, b =  -3 and c = 1

The sum of roots/ zeros of a quadritic polynomial is equal to -b/a

The sum of the roots of the above equation is 1                   ....Given

-b/a = 1

$\frac{-(-3)}{k}$ = 1

On cross multiplying

k = 3

Therefore, the value of k is 3.