Question

If the sum and product of the zeroes of the polynomial ax^2-6x+c is equal to 12 each, find the value of a and c.

Answer 1

Step-by-step explanation:

if the sum and product of the zeroes of the polynomial ax^2-6x+c is equal to 12 each, find the value of a and c

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Answer 2

Answer:

$a \: = \: \frac{1}{2}$

and

$c \: = \: 6$

Step-by-step explanation:

Since,

$\frac{ - b}{a} \: = 12$

So,

$- \frac{ (-6)}{a} \: = \: 12$

So,

$a \: = \: - \frac{ (- 6)}{12} = \frac{ 1}{2}$

And,

$\frac{c}{a} \: = \: 12$

So,

$c \: = \: 12 \times a \: \\ = 12 \times \frac{ 1}{2} = 6$