Question

If alpha and beta are zeroes of the polynomial f(x)=w-3x-2x2 such that alpha minus beta is equal to 9/2 find w

Answer 1

Answer:

w = 9

Step-by-step explanation:

$f(x) = 2x^{2} - 3x - w$

$\alpha - \beta = \frac{9}{2}$             - eq.1

Also

$\alpha + \beta = -b/a = 3/2$           -eq.2

Solving eq.1 and eq.2 simultaneously,

$\alpha =3$

$\beta = 1.5$

Using in this equation

$\alpha * \beta = \frac{c}{a} = \frac{w}{2}$

$3 * 1.5 = w/2$

$3 * 1.5 * 2 = w$

$9 = w$