Question

If alpha and beta are the zeros of the quadratic polynomial 2x^2+5x+2, then find the value of aplha^2 and beta^2. please answer :)​

Answer 1

Answer:

alpha^2+beta^2=25/4-2

=25-4/4

=21/4

Answer 2

For a quadratic equation,

${ax}^{2} + bx + c = 0$

The sum of the roots=-b/a and product of the roots is c/a

Here sum of roots= α+β=-5/a

Product of roots=αβ=1/2

$\small \bold \red{Therefore,α+β+αβ= \frac{ - 5}{a} + \frac{1}{2} }$

⇒ α+β+αβ=−2