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

Answer Link

Otras preguntas

example of a written trailer of a teenage girl and her life making it as if in a movie
A campus network is planning to install fiber-optic cables to replace outdated coaxial cables. They have the choice of installing single-mode, rnultimode, or a
Less Accessible to the public --- Highly Accessible to the public (4)a) Dietary Guidelines --- Nutrition Facts Panelb) Nutrient content claims --- Daily Valuesc
What are some of the benefits of joining the Community Rating System?
Divide 31426 by 7 the quotient is
Why was reform for the treatment of the mentally ill a humanitarian effort?
Sustained diastolic pressure above 90mm Hga) Hypertensionb) Hypotensionc) Normal blood pressured) Bradycardia
Why do smokers and older adults need more vitamin D?
An object of mass m is allowed to fall from rest along a rough inclined plane. The speed of the object on reaching the bottom of the plane is proportional to:A.
What we are learning around the world is that if women are healthy and educated, their families will flourish. If women are free from violence, their families w