Problem: x(2x-5)=33
what is the answer?
x(2x - 5) = 33
2x^2 - 5x = 33
2x^2 - 5x - 33 = 0
-b ± sqrt(b² - 4*a*c)
x = -------------------------
2a
-(-5) ± sqrt((-5)² - 4*2*(-33))
x = -----------------------------------
2(2)
5 ± sqrt(25 - (-264))
x = --------------------------
4
5 ± sqrt(289)
x = -----------------
4
5 ± 17
x = ---------
4
5 + 17 5 - 17
x = --------- and x = ---------
4 4
22 -12
x = ---- and x = -----
4 4
Answer: x = 5.5 and x = -3