Let f(x) = 2x2 − 9x and g(x) = -5x2 + 4x. Find f(x) − g(x).
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Answer:
The negative solution k = -1 is the desired solution.
Step-by-step explanation:
Let the given number = k
So, according to the question:
or,
Now, solving this quadratic equation, we get
or, k ( k-9) + 1 (k-9) = 0
⇒( k-9)(k+1) = 0
or, ( k-9) = 0 , or (k+1) = 0
⇒ k = 9 or k = -1
Since we only want the negative solution , the k = -1 is the desired solution.