Solve Using the Quadratic Formula x^2+6x-4=0

Problem

x2+6*x−4=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=−4

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

x=(−b±√(,b2−4*a*c))/(2*a)

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

x=(−6±√(,6−4*(1)*(−4)))/(2*(1))

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

x=(−6±√(,36+16))/2

x=(−6±√(,52))/2

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

x=(−6±√(,4⋅13))/2

x=(−6±2√(,13))/2

6. Divide each term in the numerator by the denominator to find the final values of x

x=−3±√(,13)

Final Answer

x=−3±√(,13)

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