hnlswdhao hnlswdhao
  • 23-10-2021
  • Mathematics
contestada

w x and y are three integers w is 2 less than x y is 2 more than x prove that wy+ 4 =x^2

Respuesta :

tot1466
tot1466 tot1466
  • 23-10-2021

w + 2 = x

x + 2 = y

Cross multiply

y(w+2) = x(x+2)

wy + 2y = x^2 + 2x

make x the subject of the equation

x = y - 2

substitute this in place of (x) in 2x

wy + 2y = x^2 + 2(y-2)

wy + 2y = x^2 + 2y - 4

wy  + 2y - 2y + 4 = x^2

wy + 4 = x^2

Answer Link

Otras preguntas

factorize the following: x^4+x^2+1​
With 4 weeks remaining in the season, Lisa has 31 more homeruns than Mark. If Mark is to hit more homeruns than Lisa, he must average at least how many more hom
He walked to his pack. He'd brought four pieces of plywood, one foot by two feet, marine grade, half an inch thick.
An oil tanker has a mass of to, 40000 tonnes. It is 500m long and 40m wide. What is the mininum depth of harbor it requires?​
can anyone plz with steps
The fifty people at a library are only allowed to sit in groups of 3,4, or 5 people. If all 50 people are seated, the greatest possible number of groups is
Find the equation of the line with the slope 3/2 through the point (-6,2)
The figure is twice as _______ as Germany’s annual budget. budget. large much more many
Love Hate & Filter Plzzzzz can someone help this is due in a like a week
How would the expression (x^2 + 1)(y^2 + 4) be rewritten using Two Squares? O A. (xy– 2)^2 - (4x+y)^2 B. ( xy- 2)^2 +(2x+y)^2 C. (xy+2)^2 +(x+2y)^2 D. (xy-2)^2+