Question

solve using quadratic formula x2-10=3x​

Answer 1

Answer:

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -3x  its coefficient is  -3 .

The last term, "the constant", is  -10  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -10 = -10  

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   -3 .

     -10    +    1    =    -9  

     -5    +    2    =    -3    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -5  and  2  

                    x2 - 5x + 2x - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                   2 • (x-5)

Step-5 : Add up the four terms of step 4 :

                   (x+2)  •  (x-5)

            Which is the desired factorization