Loyan Loyan
  • 10-07-2021
  • Mathematics
contestada

Compute the value of 9x^2 + 4y^2 if xy = 6 and 3x + 2y = 12.​

Respuesta :

Аноним Аноним
  • 10-07-2021

Answer:

Consider the equation 3x + 2y = 12

Now, square both sides:

(3x + 2y)^2 = 122

=> 9x^2 + 12xy + 4y^2 = 144

=>9x^2 + 4y^2 = 144 – 12xy

From the questions, xy = 6

So,

9x^2 + 4y^2 = 144 – 72

Thus, the value of 9x^2 + 4y^2 = 72

Answered by GAUTHMATH

Answer Link

Otras preguntas

what is photonasty??
Why did the east German party cease to exist by the end of 1989?
What is the maximum number of turning points the function f(x)=7x^5+6x^3-4x^2+1 , can have
Which regions have been the sites of genocide or a attempted genocide in the last 30 years?
Bombarding sodium-23 with a proton produces nuclide X and a neutron. What is nuclide X? Answers: magnesium-24 magnesium-23neon-23 sodium-24 none of the aboveT
when i was two, my brother was half my age now i am 100. what is my brothers age
How do you factor this 8x^2+2x-21=0
What former president believed July 2 was the correct date to celebrate American independence?
when was Abraham Lincoln was born
Supposed you list the factors of a perfect square why is one factor a square root and not the other factors ?