Question

) If one of the root of the equation x²-6=x is 3 then the other root is *​

Answer 1

Answer:

-2

Step-by-step explanation:

Take x on the left side, and you'll get x^2 - x - 6 =0. Use the quadratic formula, and you'll find that x can be either 3 or -2. Since they gave that 3 is a root already, answer is -2.

Alternative :

When you get the equation x^2 - x - 6 =0, as it is a quadratic equation, it must have 2 roots. Since 3 is already given, take the other root as 'a'. Then, we can write the given equation as -

x^2 - x - 6 = (x-3)(x-a)

x^2 - x - 6 = x^2 - ax - 3x + 3a

- x - 6 = -(a+3)x + 3a

From here, we can equate the coefficients, as -

1 = a + 3, and

-6 = 3a

Solving both of them, you'll get the value of 'a' as -2.

Hope it helps!