Question

${x}^{2} - 55x + 750 = 0$
Please solve using factorisation method.

Answer 1

Hey there!

Q. $x^{2} - 55x + 750 = 0$

Answer : We have, $x^{2} - 55x + 750 = 0$

⇒ $x^{2} - 30x - 25x + 750 = 0$

⇒ x(x - 30) - 25(x - 30) = 0

⇒ (x - 30)(x - 25) = 0

⇒ x - 30 = 0 or x - 25 = 0

⇒ x = 30 or x = 25

Thus, x = 30 and x = 25 are two roots of the equation $x^{2} - 55x + 750 = 0$.