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COMEDK2016MathematicsQuadratic Equation

If , and are the roots of the equation x³-8 x+8=0 , then ² and 1 are respectively is equal to

Options

  1. A16 and 0
  2. B-16 and 0
  3. C16 and 8
  4. D0 and -16

Correct answer

A. 16 and 0

Step-by-step solution

Since, , and are the roots of the equation x³-8 x+8=0 , then gathered + + =0, + + =-8 =-8 ...(i) gathered Therefore, ( + + )²=0 ²+ ²+ ²+2( + + )=0 aligned ²+ ²+ ² &=-2(-8)=16 ² &=16 aligned and gathered 1 + 1 + 1 = + + = 0 -8 =0 1 =0 gathered

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