Question

factorize by spliting middle term of x^2+45+45

Answer 1

Answer:

x2-45x+324=0

Two solutions were found :

x = 36

x = 9

Step by step solution :

Step 1 :

Trying to factor by splitting the middle term

1.1 Factoring x2-45x+324

The first term is, x2 its coefficient is 1 .

The middle term is, -45x its coefficient is -45 .

The last term, "the constant", is +324

Step-1 : Multiply the coefficient of the first term by the constant 1 • 324 = 324

Step-2 : Find two factors of 324 whose sum equals the coefficient of the middle term, which is -45 .

-324 + -1 = -325

-162 + -2 = -164

-108 + -3 = -111

-81 + -4 = -85

-54 + -6 = -60

-36 + -9 = -45 That's it