Question

question:
if α and ß are the zeros of the polynomial 2x² + 5x +1 find the value of α+ ß + αß.​

Answer 1

$\bf\underline{\underline{solution:-}}$

Here α+ ß = -5/2 and αß = 1/2

Now,

α + ß + αß = -5/2 + 1/2

=

$\frac{ - 5 + 1}{2}$

$- \frac{4}{2}$

$- 2$

Hence the value of α + ß + αß is -2.

Answer 2

Answer:

$\huge \huge \bf {\: \pmb{Question}}$

Q. if α and ß are the zeros of the polynomial 2x² + 5x +1 find the value of α+ ß + αß.

Given:-

• α and ß are the zeros of the polynomial 2x² + 5x +1

Required to find :-

• the value of α+ ß + αß.

$\huge \huge \bf {\: \pmb{ \green{solution}}}$

equation → 2x² + 5x +1

then, a = 2 , b = 5 and c = 1

we know that α+ ß = $\frac{-b}{a}$

= $\frac{-5}{2}$

we know that α×ß = $\frac{c}{a}$

= $\frac{1}{2}$

now, α+ ß + αß

= ( $\frac{-5}{2}$ ) + $\frac{1}{2}$

= $\frac{-5+1}{2}$

= $\frac{-4}{2}$

= -2

thus, the value of α+ ß + αß is -2