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Obtain a quadratic equation whose roots ...

Obtain a quadratic equation whose roots are 3 and -10 .

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The correct Answer is:
The quadratic equation is `x^(2) + 7x - 30 = 0 `
Let `alpha = 3 and beta = - 10`
`alpha + beta = 3 + ( -10) = - 7`
`alpha beta = 3 xx ( - 10) = - 30 `
The quadratic equation is`x^(2) - ( alpha + beta ) x + alpha beta = 0`
`:. X^(2) - ( -7) x + ( - 30) = 0 `
` :. X^(2) + 7x - 30 = 0 `
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