Question

If the sum and product of the zeroes of the polynomial ax2-x +c is equal to 10 each find the value of 'a' and 'c'

Answer 1

Please refer to the attachment for answer

Answer 2

The value of a is 10 and c is 100.

Step-by-step explanation:

Given : If the sum and product of the zeroes of the polynomial $ax^2-x +c$ is equal to 10 each.

To find : The value of 'a' and 'c' ?

Solution :

The sum and product formula of a quadratic equation $ax^2+bx+c=0$ is given by,

$\text{Sum of roots}=-\frac{b}{a}$  .....(1)

$\text{Product of roots}=\frac{c}{a}$  .....(2)

Here, a=a, b=-1 and c=c

The sum and product of the zeroes = 10

Substitute the values,

In equation (1),

$10=-\frac{-1}{a}$

$a=10$

In equation (2),

$10=\frac{c}{10}$

$c=100$

Therefore, the value of a is 10 and c is 100.

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