Question

Solve 9x^2-9(a+b)x+ (2a^2+5ab+2ab^2)=0

Answer 1

SOLUTION

Refer to the attachment

hope it helps ✔️

Answer 2

HERE IS YOUR ANSWER

Consider,

9x2-9(a+b)x+(2a2+5ab+2b2)=0

9x2 - 9(a + b)x + (2a2 + 4ab + ab + 2b2) = 0

9x2 - 9(a + b)x + [2a(a + 2b) + b(a + 2b)] = 0

9x2 - 9(a + b)x + [(a + 2b)(2a + b)] = 0

9x2 – 3[(a + 2b) + (2a + b)]x + [(a + 2b)(2a + b)] = 0

9x2 – 3(a + 2b)x - 3(2a + b)x + [(a + 2b)(2a + b)] = 0

3x[3x – (a + 2b)] - (2a + b)[3x + (a – 2b)] = 0

[3x – (a + 2b)][3x - (2a + b)] = 0

[3x – (a + 2b)] = 0 or [3x - (2a + b)] = 0

3x = (a + 2b) or 3x = (2a + b)

x = (a + 2b)/3 or x = (2a + b)/3