Question

Find the quadratic equation of the zero. a+b,a-b ?

Answer 1

$\alpha = \: a + b \: \: and \: \beta = a - b \\ quadratic \: equation \: = {x}^{2} - (sum \: of \: zeroes)x + (product \: of \: zeroes) \\ = > {x}^{2} - (a + b + a - b)x + ((a + b)(a - b)) \\ = > {x}^{2} - 2ax + {a}^{2} - {b}^{2}$

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