write the nature of roots of Quadratic equation x2-x-6=0
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SINCE DISCRIMINENT = 1-4(1)(-6)= 25
which is positive
so equation has two real distinct roots
know other conditions
- if discriminent is 0
then equation has two equal roots
because by quadratic formula
x= -b + √D /2a
where a and b are coefficient of x^2 and x
- if D = 0 then clearly equation has two equal roots
- if discriminent is negative then equation has two imaginary roots
- if discriminent is a perfect square then roots are ratinal in nature
- know set of complex nber > set of real >set of ratinal numbers
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