Question

PLZ HELPPPPP

Use the quadratic formula to determine the exact solutions to the equation.

2x^2−5x+1=0



Enter your answers in the boxes.

x =______ or x = ______

Answer 1

Use the quadratic formula with a = 2, b = -5, and c = 1



x = -b ± sq rt b2 - 4ac
-------------------- <---------- Please note: sq rt is over entire expression of b^2 - 4ac
2a


x = - (-5) ± sq rt (-5)2 + 4(2)(1)
-------------------------------- <---------Please note: sq rt is over entire expression (-5)2 + 4(2)(1)
2(2)



x = 5 ± √17
---------
4


x = 5 + 1√17 OR x = 5 + -1√17
--- --- --- ----
4 4 4 4


Answer: x = 5 + 1√17 OR x = 5 + -1√17
--- -- -- --
4 4 4 4