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Write the quadratic equations, if (i) ...

Write the quadratic equations, if
(i) `alpha + beta = -6, alpha beta = 4 ` (ii) ` alpha + beta = 8 , alpha beta = -3`

Text Solution

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(i) `x^(2) - ( alpha + beta) x + alpha beta = 0 `
`:. X^(2) - ( - 6 ) x + 4 = 0 `
` :. X^(2) + 6 x + 4 = 0`
(ii) ` x^(2) - ( alpha + beta ) x + alpha beta = 0 `
`:. X^(2) - ( 8)x + ( -3) = 0 `
`:. X^(2) - 8x -3 = 0 `
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