Question

solve x^2-5x+2=0

Answer 1

one second let me do the problem...

Answer 2

in what form? radical? decimal? fraction?

Answer 3

Solving x2-5x+2 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC
x = ————————
2A

In our case, A = 1
B = -5
C = 2

Accordingly, B2 - 4AC =
25 - 8 =
17

Applying the quadratic formula :

5 ± √ 17
x = —————
2

√ 17 , rounded to 4 decimal digits, is 4.1231
So now we are looking at:
x = ( 5 ± 4.123 ) / 2

Two real solutions:

x =(5+√17)/2= 4.562

or:

x =(5-√17)/2= 0.438