leoqueen9365 leoqueen9365
  • 12-11-2018
  • Mathematics
contestada

Two positive integers have a product of 32. One integer is twice the other. What are the integers?

Respuesta :

Аноним Аноним
  • 12-11-2018

Let [tex] x,y [/tex] be the two integers. Let's say that [tex] x [/tex] is twice [tex] y [/tex], i.e. [tex] x = 2y [/tex]. So, their product is

[tex] xy=2y\cdot y = 2y^2 [/tex]

If we want this product to be 32, we have

[tex] 2y^2 =32 \iff y^2 = 16 \iff y = \pm 4 [/tex]

So, since [tex] x [/tex] is twice [tex] y [/tex], we have [tex] x = \pm 8 [/tex]

So, the possible couples are [tex] 4,8 [/tex] or [tex] -4,-8 [/tex]

Answer Link

Otras preguntas

Marci is trying to determine the predetermined overhead rate for her company. She knows that the estimated annual overhead costs for the company are $255,000. T
9x-6=4x+19 I don't understand this please help 10 points
Line q passes through (-5,5) and is parallel to the line 2x + y + 1 = 0. The slope of line q is 1.
Joan made 5 withdrawals of $75 each from her bank account. What was the overall change in her account?
Canada, the United States, and Mexico are where on the continent of North America.
Express the fraction 7/9 in decimal form?
What is the present tense verb​
what challenges did new england farmers face ? EXTRA POINTS ANSWER ASAP
Point J is on line segment IK. Given JK=x+6, IJ=9, and IK=2x, determine the numerical length of JK.
List specific actions teens can take to improve their wellness