Write the condition to be satisfied for which equations ax2 + 2bx + c = 0 and 
have equal roots.
Given the roots of both the equations are real
For first equation ax2 + 2bx + c = 0
Its discriminant; d ≥ 0
D = b2 – 4ac
D = (2b)2 – 4 × a × c ≥ 0
4b2 ≥
b2 ≥ ac …1
For second equation
bx2 - 2
x + b = 0
d = b2 – 4ac ≥ 0
= (2
)2 – 4 b xb ≥ 0
= 4ac – 4 b2 ≥ 
ac ≥ b2 …2
From 1 and 2 we get only one case where b2 = ac
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