Question

12ax² - (9a² - 8b²) x + (2a² + 5ab + 2b²) = 0 solve for x​

Answer 1

`\sqrt{((8b^2-9a^2)^2)/(576a^2)-(2b^2+5ab+2a^2)/(12a) } -(8b^2-9a^2)/(24a) \\\\or\\-\sqrt{((8b^2-9a^2)^2)/(576a^2)-(2b^2+5ab+2a^2)/(12a) } -(8b^2-9a^2)/(24a)`

Explanation:

The quadratic formula for

`ax^2+bx+c=0`

the solution is: (-b±√(b²-4ac))/(2a)

The solution is:

`\sqrt{((8b^2-9a^2)^2)/(576a^2)-(2b^2+5ab+2a^2)/(12a) } -(8b^2-9a^2)/(24a) \\\\or\\-\sqrt{((8b^2-9a^2)^2)/(576a^2)-(2b^2+5ab+2a^2)/(12a) } -(8b^2-9a^2)/(24a)`