Solve Using the Quadratic Formula 2x^2-5x=1

Problem

2*x2−5*x=1

Solution

1. Rearrange the equation into standard form a*x2+b*x+c=0 by subtracting 1 from both sides.

2*x2−5*x−1=0

2. Identify the coefficients a b and c for the quadratic formula.

a=2

b=−5

c=−1

3. Apply the quadratic formula x=(−b±√(,b2−4*a*c))/(2*a) by substituting the identified values.

x=(−(−5)±√(,(−5)2−4*(2)*(−1)))/(2*(2))

4. Simplify the expression inside the square root (the discriminant).

x=(5±√(,25+8))/4

x=(5±√(,33))/4

Final Answer

x=(5±√(,33))/4

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