The difference between the roots of the quadratic equation x^2−12x+q=0 is 2. Find q.
Accepted Solution
A:
Answer: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 = 2Equation : α + β = 12Equation : αβ = qWe have to create an algebraic expression.(a+b)² = (a-b)² + 4ab (12)² = (2)² + 4q 144 = 4 + 4q144 - 4 =4q140=4qq = 140/4q = 35Therefore, the required value of q is 35.Some information about zeroes of quadratic equation. Sum of zeroes = -b/aProduct of Zeroes = c/a