If the quadratic equations
ax2 + 2x + c = 0, ax2 + 2cx + b = 0 hav
a common root. Then
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ax2 + 2cx + b = 0 and ax2 + 2bx + c = 0
Subtracting 2(c–b) x = (c–b)
x = 1/2 is a common root
Put in equation a/4 + 2c/2 + b = 0
⇒ a + 4c + 4b = 0
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