danielaalvarezd danielaalvarezd
  • 09-02-2017
  • Mathematics
contestada

What 2 numbers equal to 24 when multiplied but when added it equals to -14

Respuesta :

Joshtray
Joshtray Joshtray
  • 09-02-2017
[tex]xy=24[/tex]
[tex]x+y=-14[/tex]
Squaring both sides of the second equation we get
[tex](x+y)^2=196[/tex]
[tex]x^2+y^2+2xy=196[/tex]
But xy = 24,
[tex]x^2+y^2+48=196[/tex]
[tex]x^2+y^2=148[/tex]
Subtract 2xy from both sides
But -2xy=-48
[tex]x^2+y^2-2xy=148-48[/tex]
[tex](x-y)^2=100[/tex]
[tex]x-y=100[/tex]
If x + y = -14 and x - y = 100
then x = 43 and y = - 57.
Please mark me as brainliest.

Answer Link

Otras preguntas

The midsegment of a trapezoid is 11 cm in length. If one of the trapezoid's bases is 17 cm long, what is the length of the other base?
rank planets left to right based on distance from the sun
How does gossip affect the reader’s perception of Daisy Miller? Your answer should be at least 150 words. Doesn’t have to be 150 words
How can you drop a raw egg onto a concrete floor without cracking it?
NEED HELP ASAPPP!!!! Get brainlist!
Which of the following values would complete the ordered pair if the point is on the graph of ƒ(x) = -2x + 3? (-1, ___) -4 0 1 5
The first case of using two words as a scientific name _____. was introduced by John Ray was introduced during the Renaissance was introduced by the Greeks
according to lazarus, secondary appraisal involves________
Which of the following was an economic reason for the United States to declare war on Spain in 1898? A. to acquire pineapple and sugarcane resources in Hawai
Help please with 2,3,4