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Georgia [21]
3 years ago
7

Select the quadratic equation that has roots x=8 and x=-5

Mathematics
1 answer:
stellarik [79]3 years ago
5 0

Step-by-step explanation:

Since, x=8 and x=-5 are the roots.

Therefore, (x - 8) & (x - 5) will be factors.

Hence, required quadratic equation can be given as:

(x - 8)(x - 5) =0 \\  \\  \therefore  {x}^{2}  + ( - 8 - 5) x+ ( - 8) \times ( - 5) = 0 \\  \\ \therefore  {x}^{2}  + ( - 13) x+ 40= 0  \\  \\ \huge \red{ \boxed{ \therefore  {x}^{2}  - 13x+ 40= 0 }} \\ is \: the \: required \: quadratic \: equation.

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