If a and b are zeros of the polynomial x square-x-k such that a-b=9 fi

1.	If a and b are zeros of the polynomial x square-x-k such that a-b=9 find k.
Answer» Answer: K = 20 Step-by-step explanation: We have been given the equation:- x² - x - k = 0 Its ZEROES are a and b. Also, a - b = 9 ...(1) $\dfrac{-b}{a}$ The SUM of zeroes of a polynomial is Here, $\dfrac{-(-1)}{1} = a + b$ a + b = 1 ...(2) Add equation (1) and (2):- $(a - b) + (a + b) = 9 + 1$ $2a = 10$ $a = \dfrac{10}{2}$ $a = 5$ Therefore, b = -4 $\dfrac{c}{a}$ Product of Roots = $5 \times -4 = \dfrac{-k}{1}$ $-20 = -k$ $k = 20$ Therefore, the value of k is 20 !