Solve x 2 + 9x + 8 = 0 by completing the square. What are the solutions?
1 answer:
So firstly, what two terms have a product of 8x^2 and a sum of 9x? That would be x and 8x. Replace 9x with x + 8x:
Next, factor x^2 + x and 8x + 8 separately. Make sure that they have the same quantity on the inside:
Now you can rewrite the equation as
Now using zero product property, solve for x:
<u>In short, the solutions are {-1,-8}, or C.</u>
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A. is true.
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is given by
C. is true.
Since the origin is the point , if we compute the function at
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D. is true.
The domain is affected by denominators (they can be zero), even roots (they don't accept negative inputs) and logarithms (they don't accept non-positive inputs). Since this function has none of these three, the domain is all real numbers.
B. is FALSE.
The range of a function is the set of numbers obtained as output, for all possible inputs. Since, in this case, the input and the output are the same thing, if you give a negative input, you will receive the same negative output. So, the range doesn't consist only of positive numbers.