Question

If 2x + 3y = 8 and xy = 4 then find the value of 4x2 + 9y2

Answer 1

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Answer 2

Solution :

2x+3y=8

By squaring both sides.

(2x+3y)^2=8^2

By using identity : (a+b) ^2=a^2+b^2+2ab

4x^2+9y^2+12xy =64

4x^2+9y^2+12(4)=64

4x^2+9y^2+48=64

4x^2+9y^2=64-48

4x^2+9y^2=16