Q. 11

# If the sum of the zeros of the quadratic polynomial f (x) = kx2 — 3x + 5 is 1, write the value of k.

Given,

The quadratic polynomial f(x) = kx2 – 3x + 5
Now,

Let two zeroes be a and 1 – a

Sum of zeroes = 1 and also 1 – a ˃ 0 a ˂ 1

Therefore;

Sum of the zeroes = 3/k

a + (1 – a) = 3/k

1 = 3/k

k = 3

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