Step-by-step explanation:
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x = 0 and x = 5 are roots.
Required quadratic equation is given as:
[tex] {x}^{2} - (0 + 5)x + 0 \times 5 = 0 \\ \therefore \: {x}^{2} - 5x + 0 = 0 \\ \red { \boxed{ \therefore \: {x}^{2} - 5x = 0}} \\ is \: the \: required \: quadratic \: equation.[/tex]
