Question

If alpha and beta are zeros of the polynomial 2x square + 3 X + 5 then find the value of alpha + beta upon alpha beta​

Answer 1

Answer:see the attachment below

Answer 2

The required value is $-\frac{3}{5}$.

Step-by-step explanation:

Consider the provided information.

$2x^2+3x+5=0$

For the quadratic equation ax²+bx+c=0 the relation between the coefficient  and their roots α and β is:

$\alpha + \beta = \frac{ - b }{a}\\\alpha \times \beta = \frac{c }{a}$

Here, a = 2 b = 3 And c = 5

Sum of zeroes = $\frac{ - b }{a}=\frac{-3}{2}$

Product of Zeroes = $\frac{c }{a}=\frac{5}{2}$

Therefore,

$\dfrac{\alpha+\beta}{\alpha\beta}=\dfrac{\frac{-3}{2}}{\frac{5}{2}}\\\\\dfrac{\alpha+\beta}{\alpha\beta}=-\dfrac{3}{5}$

Hence, the required value is $-\frac{3}{5}$.

#Learn more

Find the zeroes of the polynomial x^2+1/6x-2 and verify the relation between the coefficient and zeroes of the polynomial.

brainly.in/question/3698056