Math, asked by prachinishika, 9 months ago

Find the zeroes of the quadratic polynomial

f(x) = mx(x – m – 1) + m

2

and verify the relationship

between the zeroes and its coefficients.

Answers

Answered by anbshaik00

Step-by-step explanation:

$f(x) = m {x}^{2} - m(m - 1)x + m = 0$

Dividing the entire equation by m

${x }^{2} - (m - 1)x + 1 = 0$

by quadratic formula

$discriminant = \sqrt{ {(m - 1)}^{2} - 4 }$

$= \sqrt{ {m}^{2} - 2m - 3} = \sqrt{(m - 3)(m + 1)}$

$x = \frac{m - 1 + \sqrt{(m - 1)(m - 3)} }{2} \: \: \: or \: \: \: \: \: \frac{m - 1 - \sqrt{(m - 1)(m - 3)} }{2}$

Answered by ronaldoChristiano

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