Question

please answer this question I need this urgent

Answer 1

F(x)=2x^2-5x+k

$\alpha + \beta = 5 \div 2$

$\alpha \beta = k \div 2$

Given,

$\alpha - \beta = 5$

Adding the equation we get

$\alpha = 15 \div 4$

put the value of alpha in equation, then

$\beta = - 5 \div 4$

$\alpha \beta = k \div 2$

put the value of alpha and beta then

$k = - 37.5$