Bihar Police Constable Model Paper 3

${\mathit{x}}^2$ – 13x + 36 = 0
⇒ ${\mathit{x}}^2$ – (9 + 4)x + 36 = 0
⇒ ${\mathit{x}}^2$ – 9x – 4x + 36 = 0
⇒ x(x – 9) – 4(x – 9) = 0
⇒ (x – 9)(x – 4) = 0
⇒ (x – 9) = 0
⇒ x = 9
Or, (x – 4) = 0
⇒ x = 4
∴ The roots of the equation ${\mathit{x}}^2$ – 13x + 36 are 9 and 4.