fatymarhnazeer
fatymarhnazeer fatymarhnazeer
  • 13-02-2020
  • Mathematics
contestada

the product of two numbers is 12. the sum of the larger number and twice the smaller is 11. find the two numbers​

Respuesta :

surjithayer10 surjithayer10
  • 13-02-2020

Answer:

Step-by-step explanation:

let x>y

x+2y=11

x=11-2y

xy=12

(11-2y)y=12

11 y-2 y^2=12

2 y^2-11 y+12=0

2y²-8y-3y+12=0

2y(y-4)-3(y-4)=0

(y-4)(2y-3)=0

y=4,3/2

Answer Link
BrainyDan
BrainyDan BrainyDan
  • 26-01-2021

Answer:

8 and 3/2

Step-by-step explanation:

Let m and n be the two numbers. Then:

2m+n=11

n=11-2m

m(11-2m)=12

11m-2m²=12

2m²-11m+12=0

(2m-3)(m-4)=0

m=3/2 or 4

Since 11-2(4)=3, then m must be 3/2, and n must be 8. ☺☺☺☺

Answer Link

Otras preguntas

Please help me. The question is below!
What city does the prime meridian pass through
President johnson was reluctant to join in the conflict in vietnam because
How come children who’s parents drink (excessively) are more likely to become alcoholics ?
What is the significance of verbal irony in the play Othello? And how it helps reveal the truth to the end of the story?
What is the domino theory
only for sutff to do
Help please I can’t solve
Franny drew a diagram to compare images produced by concave and convex lenses. Which belongs to the area marked in X? Real Virtual Larger than object Upside d
Which statement is supported by the cell theory HURRRYYYYY