Question

(2a + 3)2 + (2a - 3)2 = (8a+6) (a - 1) +24 ​

Answer 1

4a + 6 + 4a - 6 = 8a^2-8a+6a-6 + 24

8a = 8a^2 - 2a + 18

8a^2-10a+18 = 0

2(a^2-5a+9) = 0

a^2 -5a+9 = 0

D = 25 - 4(9)

or, D = 25-36

or, D = -11

Since , D is less than Zero,

The roots of this equation does not exist or the roots of this equation are imaginary .

Answer 2

4a + 6 + 4a - 6 = 8a^2-8a+6a-6 + 24

8a = 8a^2 - 2a + 18

8a^2-10a+18 = 0

2(a^2-5a+9) = 0

a^2 -5a+9 = 0

D = 25 - 4(9)

or, D = 25-36

or, D = -11

Since , D is less than Zero,

The roots of this equation does not exist or the roots of this equation are imaginary .