Compute the value of 9x^2 + 4y^2 if xy = 6 and 3x + 2y = 12. July 22, 2021 by Thiên Ân Compute the value of 9x^2 + 4y^2 if xy = 6 and 3x + 2y = 12.
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 Reply
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
Yea it’s 72 fasho bro