Question

if alpha beta are the zeros of the polynomial 2 y square + 7y + 5 + the value of alpha + beta + alpha beta​

Answer 1

$\alpha + \beta = \frac{ - 7}{2}$
$\alpha \beta = \frac{5}{2}$
$now \:$
$\alpha + \beta + \alpha \beta =$
$\frac{ - 7}{2} + \frac{5}{2}$
$\frac{ - 2}{2}$
$- 1$
hope this answer is helpful

Answer 2

Solution :

Given alpha beta are the zeros of the polynomial

2y² + 7y +4 Compare this

with ax² + bx + c we get,

a = 2 , b = 7 , c = 4

Now ,

i ) alpha + beta = -b/a

= -7/2

ii ) Product of roots = c/a

= 5/2

Therefore ,

value of alpha + beta + alpha beta

= -7/2 + 5/2

= -2/2

= -1

Therefore ,

value of alpha + beta + alpha beta = -1

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