PLZ HELPPPPPUse the quadratic formula to determine the exact solutions to the equation.2x^2−5x+1=0Enter your answers in the boxes.x =______ or x = ______
Accepted Solution
A:
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