14. If α and β are two zeroes of a quadratic polynomial f(x)value of

1.	14. If α and β are two zeroes of a quadratic polynomial f(x)value of kx25x + k and α-β1, find
Answer» Let alpha = a, beta = b x^2 - 5x + k have roots a and b Then,a + b = 5...... (1)a - b = 1........(2) (given) ab = k........... (3) Add eq(1) and eq(2)2a = 6a = 3 From eq(1)3 + b = 5b = 5 - 3 = 2 Put value of a and b in eq(3), we getk = 3*2 = 6 Therefore, value of k = 6 thanks

14. If α and β are two zeroes of a quadratic polynomial f(x)value of kx25x + k and α-β1, find

Answer»

Let alpha = a, beta = b

x^2 - 5x + k have roots a and b

Then,a + b = 5...... (1)a - b = 1........(2) (given) ab = k........... (3)

Add eq(1) and eq(2)2a = 6a = 3

From eq(1)3 + b = 5b = 5 - 3 = 2

Put value of a and b in eq(3), we getk = 3*2 = 6

Therefore, value of k = 6

thanks