Math, asked by trixie2002, 11 months ago

For the equation 3x² + px + 3 = 0, if one root is square of the other root, then p =?

Answers

Answered by jawakar10
1

Answer:

p = -  6 \\ let \:  \alpha  =  \alpha  \\  \beta  =  { \alpha  }^{2}  \\   \alpha  +  \beta  =  - p \div 3 \\   1 +  \alpha  =  - p \div 3 \alpha  \\  \alpha  \beta  = 3 \div 3 = 1 \\   \alpha  \times  { \alpha }^{2}   = 1 \\   { \alpha }^{3}  = 1 \\   \alpha  = 1 \\ x1 + 1 =  - p \div 3 \\ p =  - 6

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