Question

Solve for x by using quadratic formula: a²x²-3abx+2b²=0​

Answer 1

Answer:

Given : a²x² - 3abx + 2b² = 0

a²x² - 2abx  - abx + 2b² = 0

[- 2ab ×  - ab  = 2a²b²  &  - 2ab  - ab = -3ab]

ax(ax - 2b) - b (ax - 2b) = 0

(ax - b) (ax - 2b) = 0

(ax - b)  = 0  or   (ax - 2b) = 0

ax = b  or  ax = 2b  

x = b/a  or  x = 2b/a