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

Question

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

in progress 0
Thiên Ân 2 weeks 2021-07-22T01:16:11+00:00 2 Answers 1 views 0

Answers ( )

    0
    2021-07-22T01:17:17+00:00

    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

    0
    2021-07-22T01:17:48+00:00

    Yea it’s 72 fasho bro

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )