Solve Using the Quadratic Formula 2x^2-7x=1

Problem

2*x2−7*x=1

Solution

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

2*x2−7*x−1=0

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

a=2

b=−7

c=−1

3. State the quadratic formula.

x=(−b±√(,b2−4*a*c))/(2*a)

4. Substitute the values of a b and c into the formula.

x=(−(−7)±√(,(−7)2−4*(2)*(−1)))/(2*(2))

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

x=(7±√(,49+8))/4

x=(7±√(,57))/4

Final Answer

x=(7±√(,57))/4

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