The answer to this question depends on whether the system is consistent or inconsistent. A consistent system has at least one solution, while an inconsistent system has no solutions.
If we use the quadratic formula to find the solutions of a quadratic equation:
0 = (x – h)2 – 4(x – h) + 5
we get:
2(h – x) = 0 or 2(h – x) = 5
From these two equations we can solve for h and x:
h = (5/2)(x + 3)/2#ENDWRITE
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Last modified: August 17, 2022