What are the roots of the equation?x, squared, minus, 8, x, minus, 22, equals, minus, 10x 2 −8x−22=−10
Question
What are the roots of the equation?
Solution
The equation you've provided seems to have a typo. It should probably be x^2 - 8x - 22 = -10.
To find the roots of the equation, we first need to rearrange the equation to the standard quadratic form ax^2 + bx + c = 0.
So, we add 10 to both sides of the equation to get:
x^2 - 8x - 22 + 10 = 0
This simplifies to:
x^2 - 8x - 12 = 0
Next, we can factor the quadratic equation:
(x - 10)(x + 2) = 0
Setting each factor equal to zero gives the solutions to the equation:
x - 10 = 0 => x = 10
x + 2 = 0 => x = -2
So, the roots of the equation are x = 10 and x = -2.
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