1.

Let r,s and t be the roots of he equation 8x^3+1001x+2008

Answer»

Given: b = a + C and the quadratic equation has equal roots
Here,
b2–4ac = 0 (∵ The quadratic equation has equal roots)
⇒ b2–4ac = 0
⇒ (a + c)2–4ac = 0 (∵ b = a + c)
⇒ a2 + 2AC + c2–4ac = 0
⇒ a2–2ac + c2 = 0
⇒ (a–c)2 = 0
Applying sq.rt on both sides
⇒ √(a–c)2 = √0
⇒ a–c = 0
⇒ a = c
∴ a = c


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