SOLUTION: But how about this x^2-2x+p-3>0 , you cant find the values of x. So how can you find whether the graph lies above , below or on the x-axis? Explain.
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Question 967783: But how about this x^2-2x+p-3>0 , you cant find the values of x. So how can you find whether the graph lies above , below or on the x-axis? Explain. Answer by josgarithmetic(39623) (Show Source):
You can put this solution on YOUR website! p is a variable. x is a different variable. Still, a quadratic inequality in x. Reaching the appropriate stage of Intermediate Algebra, one would judge that the quadratic expression can represent a parabola opening upward and has a vertex as a minimum. f(x)=x^2-2x+p-3 may be completely above the horizontal axis, or touches the horizontal axis at exactly one point, or CROSSES the horizontal axis at two points. Which case occurs depends on the value of p.
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