Functions and Graphs
Functions and Graphs
Secondary 3
3 marks
For \(x^2-4x+7=0\), calculate the discriminant. State how many real roots the equation has and explain what this means for the graph \(y=x^2-4x+7\).[3]
Solution:
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Answer:\(12.\) Since the discriminant is negative, the equation has \(0\) real roots. The graph \(y=x^2-4x+7\) does not cross or touch the \(x\)-axis.
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