tatyanachambliss tatyanachambliss
  • 03-05-2017
  • Mathematics
contestada

Seventy-five times an integer, minus 36, equals 21 times the square of the integer. Which equation could be used to solve for the unknown integer?

Respuesta :

irspow
irspow irspow
  • 03-05-2017
75n-36=21n^2  rearrange so we have an equation equal to zero...

21n^2-75n+36=0  divide whole equation by 3

7n^2-25n+12=0  now factor...

7n^2-21n-4n+12=0  

7n(n-3)-4(n-3)=0

(7n-4)(n-3)=0

Since this is an integer 4/7 is extraneous.

The integer value is 3


Answer Link
BunniesAreAwesome102 BunniesAreAwesome102
  • 02-11-2019

Answer:

The answer would be 21x2 − 75x + 36 = 0

Step-by-step explanation:

21x2 − 75x + 36

75x − 36 = 21x2

21x2 + 75x − 36 = 0

3(x + 4)(7x − 3) = 0

x = −4 or x = 3/7

Thus, the unknown negative integer is −4.

Answer Link

Otras preguntas

Which mixed number is greater: 5 7/24 or 5 5/16? Why?
Which expression could be a calculator’s display for the number 0.00000000000096?                                                       A. 9.6e13
whats the answer to -12(4/3-1)
Evaluate 14.3 + 8.2 x 30
Describe how the coming of World War II ended the Great Depression. What region of the nation benefited most spectacularly?
The first light bulb had a filament made of _____.
Solve by completing the square X squared -6x+8=0
A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted pr
what the rational numbers equivalent to 6/9
Write an equation yo model each situation then solve ! A stack of 12 bricks is 27 in. High. What is the height of each brick