class 10 quad equation question plz helppppppp
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=> Here, on comparing with general equation ax 2 + bx + => c = 0, we get
=> a = 1
=> b = - 3
=> c = - m(m + 3)
=> Now, Discriminant = D = (b² – 4ac)
∴ D = [9 -4 × (-m(m + 3))]
=> [9 + 4m2 + 12 m]
=> (2m + 3)2
=> Therefore roots of the equation are given by:
=> x = (-b ± √D)/2a
∴ x = (3 ± (2m + 3))/2
=> [(6 + 2m)/2] or [-2m/2]
=> 3 + m or – m.
=> Thus the roots of the equation are: - m and m + 3.
I hope this will help you dear..
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