Question

Find the sum & product
of the quadratic equation
① x² + 7x + 12 = 0​

Answer 1

Answer:

the sum of roots is -7.

_____________

SOLUTION:

Let the equation has two roots be c and d.

So, A.T.Q.

c + d = - $\frac{(coefficient\:of\:x)}{(coefficient\:of\:x²)}$

c + d = $\frac{-7}{1}$ = -7

OR

x² + 4x + 3x + 12 = 0

x(x + 4) + 3(x+4) = 0

(x+3) (x+4) = 0

So, the roots are -3, -4.

Hence, the sum of roots is -7.