cbo cbo
  • 12-04-2014
  • Mathematics
contestada

Find two numbers whose product is -140 and sum is -4.

Respuesta :

socrates990 socrates990
  • 12-04-2014
{xy=-140, x+y+4=0)
(xy=-140, y=-x-4)
x=10, y=-14
x=-14, y=10


Answer Link
Аноним Аноним
  • 13-04-2014
[tex]\left\{\begin{array}{ccc}x\cdot y=-140\\x+y=-4& y=-x-4\end{array}\right\\\\substitute:\\\\x\cdot(-x-4)=-140\\-x^2-4x+140=0\\\\\Delta=(-4)^2-4\cdot(-1)+140=16+560=576;\ \sqrt\Delta=\sqrt{576}=24\\\\x_1=\frac{4-24}{2\cdot(-1})=\frac{-20}{-2}=10;\ x_2=\frac{4+24}{2\cdot(-1)}=\frac{28}{-2}=-14\\\\y_1=-10-4=-14;\ y_2=-(-14)-4=14-4=10\\\\Answer:10\ and\ -14.[/tex]
Answer Link

Otras preguntas

What was the purpose of the Sherman Antitrust Act of 1890? A. to limit the amount of power corporations could have on commerce and trade B. to limit the amount
A 27 year old woman presents to psychiatric evaluation after almost hitting someone with her car while driving under the influence of marijuana.
How has the Internet been used to raise funds for political campaign
Which type of molecule that can be found in living things lacks carbon atoms?
Which scenario best describes motion?
On a remote island in the Pacific, geographical isolation ensured that the human population had auburn colored hair for several generations before intermingling
what is the solution of -8/2y-8=5/y+4-7y+8/y2-16
Which statement best compared the graphs
When a biographer uses he, she, or they, the _____ point of view is being used.
ricardo y alberto _________ las pinturas en la exposición