Question

solve:
x2-4root2x+6=0.

Answer 1

 x = 2 x = -3

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "x2"   was replaced by   "x^2". 

Step by step solution :Step  1  :Trying to factor by splitting the middle term

 1.1     Factoring  x2+x-6 

The first term is,  x2  its coefficient is  1 .
The middle term is,  +x  its coefficient is  1 .
The last term, "the constant", is  -6 

Step-1 : Multiply the coefficient of the first term by the constant   1 • -6 = -6 

Step-2 : Find two factors of  -6  whose sum equals the coefficient of the middle term, which is   1 .

     -6   +   1   =   -5     -3   +   2   =   -1     -2   +   3   =   1   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  3 
                     x2 - 2x + 3x - 6

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-2)
              Add up the last 2 terms, pulling out common factors :
                    3 • (x-2)
Step-5 : Add up the four terms of step 4 :
                    (x+3)  •  (x-2)