Question

find the ratio of the sum and product of the zeroes of the polynomial 5x²+2x-10​

Answer 1

Answer:

the answer of this question is 1:5

Answer 2

Answer:

$\green{Ratio=1:5}$

Step-by-step explanation:

$\boxed{given}$

polynomial

$5x {}^{2} + 2x - 1$

$\boxed{Tofind}$

ratio of the sum and the product of the zeroes

$\boxed{amswer}$

sum of the zeroes

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

where

-b=-(2)=-2

a=5

putting the values we get

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

now product of the zeroes

$\alpha \beta = \frac{c}{a}$

where

c=-10

a=5

$\alpha \beta = \frac{ - 10}{5}$

$\alpha \beta = - 2$

ratio of the sum of the zeores and the product of the zeroes are

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

$\frac{ \alpha + \beta }{ \alpha \beta } = \frac{1}{5}$

$\boxed{Ratio=1:5}$