The difference between the roots of the quadratic equation x^2-12x+q=0 is 2. Find q.

The required value of q is 35.

Step-by-step explanation:

Let α and β are the zeros of quadratic equation, x^2-12x+q=0.

It is given that difference between the roots of the quadratic equation x^2-12x+q=0 is 2.

Equation : α - β = 2

Equation : α + β = 12

Equation : αβ = q

We have to create an algebraic expression.

(a+b) ² = (a-b) ² + 4ab

(12) ² = (2) ² + 4q

144 = 4 + 4q

144 - 4 = 4q

140=4q

q = 140/4

q = 35

Therefore, the required value of q is 35.

Some information about zeroes of quadratic equation.

Sum of zeroes = - b/a Product of Zeroes = c/a