Question

if 2 and 7 are roots then find the quadratic equation​

Answer 1

Answer:

x^2 - 9x +14

Step-by-step explanation:

2 = alpha and 7 = beta

therefore x^2 - ( alpha + beta) x + alpha*beta

x^2 - (7+2)x +(7*2)

x^2-9x+14

Answer 2

Answer: x^2-9x+14

Since 2 and 7 are the roots, (x-2) and(x-7) will be its factors.

Thus, equation is

(x-2)(x-7)

= x^2-2x-7x+14

= x^2-9x+14