Question

6. If a and B are the zeroes of the quadratic polynomial 2-3x-x², then find the value of a +B.​

Answer 1

$if \: \alpha \:and \: \beta \: are \: zeros \: of \: the \: \\ \huge{quadratic} \\ equation \\ \bold \red { \star \: ax {}^{2} + bx + c \: \star} \\ then \\ \green{sum \: of \: zeros} = \orange{ \alpha + \beta} = \bold \red{ \frac{ - b}{a} } \\ \green{product \: of \: zeros} = \orange{ \alpha \beta } = \red{ \frac{c}{a} }$

$2 - 3x - {x}^{2} \\ = > - {x}^{2} - 3x + 2 \\ a = - 1 \\ b = - 3 \\ c = 2 \\ sum \: of \: zeros = \frac{ - b}{a} = \frac{ - ( - 3)}{( - 1)} \\ = - 3$