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Question

If the graph of a quadratic polynomial ax2+bx+c does not touch or cut the X-axis (as shown above), which of the following statements is correct?


1008461_dd3e1524a2474149a0a9d01a4d3651a6.png

A
The corresponding quadratic equation ax2+bx+c=0 has NO real roots.
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B
The corresponding quadratic equation ax2+bx+c=0 has 1 real root.
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C
The corresponding quadratic equation ax2+bx+c=0 has 2 real roots.
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D
Nothing can be concluded from the graph.
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Solution

The correct option is B The corresponding quadratic equation ax2+bx+c=0 has NO real roots.
If graph does not touch or cut the xaxis then it means D<0. So no real roots.

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