karennyshgs karennyshgs
  • 08-10-2020
  • Mathematics
contestada

Write the quadratic equation whose roots are 1 and 5, and whose leading coefficient is 2.

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 08-10-2020

Answer:

[tex]\Large \boxed{\sf \bf 2x^2-12x+10}[/tex]

Step-by-step explanation:

Hello,

As 1 and 5 are roots we can write, with a real number, the quadratic equation as

a(x-1)(x-5)

and as the leading coefficient is 2 then a = 2

It comes

[tex]2(x-1)(x-5)=2(x^2-6x+5)=2x^2-12x+10[/tex]

Thanks

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