mike4829
mike4829 mike4829
  • 02-07-2019
  • Mathematics
contestada

Select the two values of x that are roots of this equation.
2x-5=-3x^2
A. x= 3
B. X=1
C. x=-5/3
D. x=-1/2

Respuesta :

gmany
gmany gmany
  • 14-07-2019

Answer:

[tex]\large\boxed{B.\ x=1,\ C.\ x=-\dfrac{5}{3}}[/tex]

Step-by-step explanation:

[tex]2x-5=-3x^2\qquad\text{add}\ 3x^2\ \text{to both sides}\\\\3x^2+2x-5=0\\\\3x^2+5x-3x-5=0\\\\x(3x+5)-1(3x+5)=0\\\\(3x+5)(x-1)=0\iff3x+5=0\ \vee\ x-1=0\\\\3x+5=0\qquad\text{subtract 5 from both sides}\\3x=-5\qquad\text{divide both sides by 3}\\x=-\dfrac{5}{3}\\\\x-1=0\qquad\text{add 1 to both sides}\\x=1[/tex]

Answer Link

Otras preguntas

Mixed economies are combinations of market and command economies and sometimes traditional economies. Which of the following economies are correctly called mixe
List the main features that define life in a material sense?
PLEASE HELP What is the mode of the following set of numbers? 51, 73, 82, 51, 73, 103, 73, 125, 82, 125 51 73 125 82
How might a soldier inconspicuously attack his enemy?
give the number of valence electrons for each of the following: Ba, Al, P, Se, Br, K
give the number of valence electrons for each of the following: Ba, Al, P, Se, Br, K
What cell is has Special vesicles containing enzymes
on what continents would you expect to see evidence of a glacier
Who is gonna win the super bowl patriots or Seahawks
Use patterns of zeros to find 5600÷7 show your work.