Solve Using the Quadratic Formula x^2-6x-1=0

Problem

x2−6*x−1=0

Solution

1. Identify the coefficients a b and c from the quadratic equation in the form a*x2+b*x+c=0

a=1

b=−6

c=−1

2. State the quadratic formula used to find the roots of the equation.

x=(−b±√(,b2−4*a*c))/(2*a)

3. Substitute the identified values into the quadratic formula.

x=(−(−6)±√(,(−6)2−4*(1)*(−1)))/(2*(1))

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

x=(6±√(,36+4))/2

x=(6±√(,40))/2

5. Simplify the radical by factoring out the largest perfect square.

x=(6±√(,4⋅10))/2

x=(6±2√(,10))/2

6. Divide both terms in the numerator by the denominator to find the final values of x

x=3±√(,10)

Final Answer

x=3±√(,10)

Want more problems? Check here!