Problem: solve the equation 2x=25x^2
2x=25x^2 solve the eqaution
25x^2 = 2x
25x^2 - 2x = 0
25x^2 - 2x + 0 = 0 Just to show that "c" is zero
-b ± sqrt(b² - 4*a*c)
x = --------------------------
2a
-(-2) ± sqrt(-2² - 4*25*0)
x = ---------------------------------
2(25)
2 ± sqrt(4 - 0)
x = ---------------------
50
2 ± sqrt(4)
x = ----------------
50
2 ± 2
x = ---------
50
2 + 2 2 - 2
x = --------- and x = ----------
50 50
4 0
x = ----- and x = -----
50 50
x = 0.08 and x = 0
Check.
25x^2 = 2x
25(0.08)^2 = 2(0.08)
25(0.0064) = 0.16
0.16 = 0.16
25x^2 = 2x
25(0)^2 = 2(0)
25(0) = 0
0 = 0
Answer: x = 0.08 and x = 0