Question

If one root of the equation pul
Two candidates attempt to solve a quadratic equation of the form x2 + px + 9 = 0. One
starts with a wrong value of p and finds the roots to be 2 and 6. The other starts with a
wrong value of
9
and finds the roots to be 2 and - 9. Find the correct roots and the
equation​

Answer 1

Step-by-step explanation:

The quadratic equation with roots 2 and 6 is

(x−2)(x−6)

x^2  − 8x + 12

Hence, q=12

Quadratic equation with roots 2,−9 is

(x−2)(x+9)

x^2  + 7x − 18

Hence, p=7

Therefore, the original equation is  

x^2  + 7x + 12 = 0

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

x = −4 and x = −3.

Answer 2

Answer:

see the above answer........................................................