qKeiseguezgabby
qKeiseguezgabby qKeiseguezgabby
  • 16-06-2016
  • Mathematics
contestada

Given y= 2x squared - 10x find all the real values of x for which y = -3

Respuesta :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 16-06-2016
[tex]y=2 x^{2} -10x \\ -3=2 x^{2} -10x \\ 2 x^{2} -10x+3=0 \\ x=\frac{-b \pm \sqrt{ b^{2} -4ac} }{2a}, \ where \ a=2, \ b=-10, \ c=3[/tex]
Therefore,
[tex]x=\frac{-(-10) \pm \sqrt{ (-10)^{2} -(4 \times 2 \times 3)} }{2 \times 2} \\ =\frac{10 \pm \sqrt{ 100 -24} }{4} \\ =\frac{10 \pm \sqrt{ 76} }{4} \\= \frac{10 + \sqrt{ 76} }{4} \ or \ \frac{10 - \sqrt{ 76} }{4} \\ =4.679 \ or \ 0.3206[/tex]


Answer Link

Otras preguntas

What is a civil liberty vs. a civil right?
What was a major effect of the Magna Carta and the English Bill of Rights on Great Britain? (1) The power of the monarch was limited. (2) Ireland revolted a
How has the development of the computer and the Internet changed the way people work?
A common rock type found within oceanic crust is called?
Why did the framers create the Electoral College?
Why did Europeans leave their homes following the war?
Discuss Fourteenth Amendment (1865) as it relates to citizenship
One goal of the Congress of Vienna was to (1) establish a new balance of power in Europe (2) protect Europe from Ottoman advances (3) end abuses within the
What two nations emerged from the British colony of India in 1947?
An economist is a social scientist who focuses on the study of the (1) development of spiritual practices (2) establishment of legal systems (3) creation a