praolg
praolg praolg
  • 04-01-2017
  • Mathematics
contestada

rozwiąż równanie kwadratowe: 3/4 y^2 +9=y/2+(y-3)^2

Respuesta :

LammettHash
LammettHash LammettHash
  • 04-01-2017
Najpierw rozszerz po prawej strony równania.

[tex]\dfrac34y^2+9=\dfrac y2+(y-3)^2\implies\dfrac34y^2+9=\dfrac y2+y^2-6y+9[/tex]

Przenieść wszystko na jedną stronę i uproszcz.

[tex]\dfrac{y^2}4-\dfrac{11y}2=0[/tex]

Rozkładaj lewą stronę na czynniki.

[tex]\dfrac14y(y-22)=0[/tex]

Są dwa rozwiązania,

[tex]y=0\text{ i }y=22[/tex]
Answer Link

Otras preguntas

A recipe for a batch of cookies calls for 12 1 2 cup of white sugar and 14 1 4 cup of brown sugar. How much sugar will you need to use for 1 1 batch?
Can anyone invite me into admitme plzzzzzzz! :)
What best describes literacy rate in North Africa
The polynomial p(x) = 5x^3 – 44x^2 + 61x + 14 has a known factor of (x – 7). Rewrite p(x) as a product of linear factors. p(x) =
Pls answer this correctly and I will mark it has brainlist
Circumference of circle is 16 pie inches. What is the are of the circle
What is the equation of the graphed line written in standard form? N 2x - y=-4 O 2x-y=4 2x-4 1x-4 O y= 54-3-2-41 1 2 3 4 5
A 250 m train travels through a 2km tunnel at 27 km/hr. How long is it from the time the front of the train enters the tunnel, to when it completely leaves it?
What is the answer 4+4x=80
Who are Georgia’s government officials ?