Question

5x-2x=7.xy=2 find 25x^2-4y^2and(5x-4y)^2 find this ​

Answer 1

Answer:

123.1 and 67.8 (rounded)

Step-by-step explanation:

5x-2x=7…………..(1)

thus, x=7/3

xy=2……….(2)

thus, y=2*3/7= 6/7

so, 25x^2-4y^2= (5x+4y) (5y-2y)

                        = (35/3 + 24/7) (35/3 - 24/7)

                        = (314/21) (173/21)

                        = 123.1           (Answer to your first part of question)

(5x-4y)^2=  25x^2 + 16y^2 - 40xy    (Using the property of a-b whole square)

              = 25 (49/9) + 16 (36/49) - 40(7/3) (6/7)

              = 136.1 + 11.7 - 80

              = 67.8             (Answer to second part of question)

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