Question

Check whether the following are quadratic equations.

1) (x - 2) (x + 1) = (x - 1) (x - 3)
2) (x - 3) (2x - 1) = x ( x + 5)

Answer 1

Answer is in the above attachment

Answer 2

Step-by-step explanation:

1) (x - 2) (x + 1) = (x - 1) (x - 3)

→ x² + x - 2x - 2 = x² + 3x - x - 3 .

→ x² + x - 2x + 2 - x² - 3x + x + 3 = 0 .

→ - 3x + 5 = 0 ≠ ax² + bx + c = 0 .[ where a ≠ 0 ] .

So, it is not in the form of quadratic equation.

2) (x - 3) (2x - 1) = x ( x + 5).

→ 2x² + x - 6x - 3 = x² + 5x .

→ 2x² + x - 6x - 3 - x² - 5x = 0 .

→ 2x² - 10x - 3 = 0 = ax² + bx + c = 0 [ where a≠ 0 ] .

Yes, it is in the form of quadratic equation.

Hence, it is solved.