Question

If r,s are the roots of x²-7x-12=0 , the sum of sum and product of the roots is ___​

Answer 1

sum = -b/a =7/1= 7

product = c/a =-12/1= -12

Answer 2

Answer:

7 and -12

Step-by-step explanation:

We know that sum of the roots and product of the roots of a quadratic equation of the form ax²+bx+c=0 having roots α and β is given by:

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

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

Therefore, sum of the roots of the equation and product of the equation x²-7x-12=0 where a=1, b= -7 and c= -12 is

Sum of the roots= -(-7)/1 = 7

Product of the roots = -12/1 = -12

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