Question

if the sum and product of root of quadratic equation are -7/2 and 5/2 respectively then the equation is
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Answer 1

$Let \: \alpha \: and \: \beta \: are \: two \:roots \\of \: a \: Quadratic \: equation.$

$i) Sum \:of \: the \: roots = \frac{-7}{2}$

$\implies \alpha + \beta = \frac{-7}{2} \: --(1)$

$ii) Product \:of \: the \: roots = \frac{5}{2}$

$\implies \alpha \beta = \frac{5}{2} \: --(2)$

$Form \: of \: Quadratic \: equation :$

$x^{2} - ( \alpha + \beta )x + \alpha \beta = 0$

$\implies x^{2} - \Big(\frac{-7}{2}\Big) x + \frac{5}{2} = 0$

/* Multiplying each term by 2 , we get */

$\implies 2x^{2} + 7x + 5 = 0$

Therefore.,

$\red{ Required \: Quadratic\: equation }$

$\green { \: 2x^{2} + 7x + 5 = 0}$

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Answer 2

Answer:

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