Solve Using the Quadratic Formula 5x=3x^2+1

Problem

5*x=3*x2+1

Solution

1. Rearrange the equation into standard quadratic form a*x2+b*x+c=0 by subtracting 5*x from both sides.

3*x2−5*x+1=0

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

a=3

b=−5

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=(−(−5)±√(,(−5)2−4*(3)*(1)))/(2*(3))

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

x=(5±√(,25−12))/6

6. Calculate the final values for x

x=(5±√(,13))/6

Final Answer

x=(5±√(,13))/6

Want more problems? Check here!