In a three dimensional space the equation x 2 – 5x + 6 = 0 represents

Question

Philoid · Accepted Answer

Given: x² – 5x + 6 = 0

x² – 5x + 6 = 0

⇒ x² – 3x – 2x + 6 = 0

⇒ x(x – 3) – 2(x – 3) = 0

⇒ (x – 3)(x – 2) = 0

⇒ (x – 3) = 0 or (x – 2) = 0

⇒ x = 3 or x = 2

Both the results represents planes which are parallel to yz-plane

Hence, x² – 5x + 6 = 0 represents planes

In a three dimensional space the equation x2 – 5x + 6 = 0 represents