4. The nature of the roots of the equation x2 – 5x + 6= 0 is
a. real and distinct b. real and equal c. imaginary d. none of these
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Answer:
Given equation is x
2
−5x+7=0
Hence, a=1,b=−5,c=7
Therefore discriminant =D=b
2
−4ac
=25−4(7)
=25−28
=−3
Hence, D<0
Therefore, there are no real roots of this equation.
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