Question

Solve the quadratic equation: x^2 - 55x+ 750=0

Answer 1

Step-by-step explanation:

x² - 55x + 750 = 0

By splitting the middle term

➾ x² - 25x - 30x + 750 = 0

Factor the expressions

➾ x(x - 25) - 30(x - 25) = 0

Factor the expression

➾ (x - 25) (x - 30) = 0

Split into possible cases

➾ x - 25 = 0

x - 30 = 0

Solve the equations

➾ x = 0 + 25

x = 0 + 30

➾ x = 25

x = 30

The final solutions are :

Answer 2

Answer:

Here goes the solution!

= x2 - 55x + 750

= x2 - 25x - 30x + 750

= x( x - 25 ) - 30( x - 25 )

= ( x - 25 ) ( x - 30 )

=> x = 25, 30