The sum of all real values of x satisfying the equation x 2 - 5 x + 5 x 2 + 4 x - 60 = 1 is

Question

The sum of all real values of x satisfying the equation x 2 - 5 x + 5 x 2 + 4 x - 60 = 1 is, 6, 5, 3, - 4

MARKS App · Accepted Answer

The given equation will be true in 3 cases. Case 1: when x 2 - 5 x + 5 = 1 ⇒ x 2 - 5 x + 4 = 0 ⇒ x = 1 , 4 Case 2: when x 2 + 4 x - 60 = 0 ⇒ x = 6 , - 10 Case 3: when x 2 - 5 x + 5 = - 1 and x 2 + 4 x - 60 ∈ even integers Now, x 2 - 5 x + 5 = - 1 ⇒ x = 2 , 3 Only x = 2 satisfies the given condition, Hence, sum of all real values of x is 1 + 4 + 6 - 10 + 2 = 3

Search any question & find its solution

Looking for more such questions to practice?