The sum of all possible values of x satisfying the equation 22x2 = 2x2+5x−5 - 210x−12, is
Question
The sum of all possible values of x satisfying the equation 22x2 = 2x2+5x−5 - 210x−12, is
Solution
First, let's simplify the equation:
22x^2 = 2x^2 + 5x - 5 - 210x - 12
This simplifies to:
20x^2 + 210x + 17 = 0
This is a quadratic equation in the form ax^2 + bx + c = 0. The sum of the roots of a quadratic equation is given by -b/a.
Here, a = 20, b = 210.
So, the sum of all possible values of x is -b/a = -210/20 = -10.5.
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