Solve the quadratic equation

1) x²+16-48=0

X=12

X=4

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant 1 • 48 = 48

Step-2 : Find two factors of 48 whose sum equals the coefficient of the middle term, which is - 16.

-48 + - 1 = - 49

-24 + - 2 = - 26

-16 + - 3 = - 19

-12 + - 4 = - 16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 12 and - 4

x2 - 12x - 4x - 48

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

x • (x-12)

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

4 • (x-12)

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

(x-4) • (x-12)

Which is the desired factorization

x = 12

x = 4