Question

IF 2a + 3b = 7 and ab = 2, find 4a^2 +9b^2.
​

Answer 1

Step-by-step explanation:

then..... a = ²/b

then...

putting this value...

2×2/b +3b = 7

multiply be b

we get...

3b^2 - 7b +4

then factorising This....

3b^2 - 3b -4b +4

3b(b-1)-4(b-1)

(3b-4)(b-1)

then... if (3b-4)= 0

then b = 4/3

and a will be... 6/4 (by putting in 2/b)

a = 3/2

then...

4× (3/2)^2 +9(4/3)^2

we get..

4×9/4 + 9×16/9

28/4 + 144/9

7 + 16

23 will be AMSWER...... we will get two answer because there are two roots So in same way by putting value of b =1

we get the second AMSWER in same way...