Question

Which of the following quadratic equations has roots 2, 5?


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Answer 1

$Let \: \alpha = 2\: and \: \beta = 5 \: are \: two \\roots \: of \: a \: Quadratic \: equation$

$i ) Sum \: of \: the \: roots \\= \alpha + \beta \\= 2 + 5 \\= 7$

$ii ) Product \: of \: the \: roots \\= \alpha \beta \\= 2 \times 5 \\= 10$

$\pink{ Form \: of \: Quadratic \: Equation : }$

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

$\implies x^{2} - 7x + 10 = 0$

Therefore.

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

$\green { x^{2} - 7x + 10 = 0}$

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Answer 2

Step-by-step explanation:

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