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

To convert 2/3 into an equivalent fraction with a denominator of 18, we could multiply only the denominator of 2/3 by.Is true or false? Explain your answer​
if you have 75 questions how many question will you need to get correct to get a 90%
Which country do you believe achieves the greatest balance between a robust, healthy, competitive economy and a good quality of life and human rights that prote
Can someone please help me with this
7. Bill and Steve both owe their mother money. Bill owes his mother $300 and plans to pay her $25 every week. Steve owes his mother $550 and plans to pay her $7
-3r+7-3r-12 in simplest form
13. Find the measure of 48 degrees 142 degrees
The rain gauge after a week showed that there were ten inches of rain. Every day the rain evaporated two inches but one more inch of rain was added. By what day
Kevin is 333 years older than Daniel. Two years ago, Kevin was 444 times as old as Daniel. Let kkk be Kevin's age and let ddd be Daniel's age. Which system of e
Find the coordinates of line segment A'B' with pre-image A(1,6) and B(2,-4) and scale factor 4.