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How Many Solutions Can A Quadratic-Linear System Have ?

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