Question

If one root of a quadratic equation is 3 and the sum of the two roots is 0, then find the equation.​

Answer 1

Answer:

One root is 3, so one factor is (x-3).

The product of the roots is 1, so 3a = 1, “a” being the other root, so a = 1/3.

Now we have both roots, and hence both factors:

(X - 3), (X - 1/3)

Multiplying these will give the resulting quadratic equation:

X^2 - 10/3X + 1

Answer 2

Answer:

Given here

Step-by-step explanation:

Let the roots of an quadratic be m,n

thus the quadratic is x^3 - (m+n)x + mn=0

If m = 3, and m + n = 0

⇒ n = -3

thus mn= 3 × (-3) = -9

Thus the quadratic equation becomes :

x^3 -0x + (-9) =0

≡ X^3 -9 =0