Solve Using the Quadratic Formula x^2+8x+6=0

Problem

x2+8*x+6=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=8

c=6

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=(−8±√(,8−4*(1)*(6)))/(2*(1))

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

x=(−8±√(,64−24))/2

x=(−8±√(,40))/2

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

x=(−8±√(,4⋅10))/2

x=(−8±2√(,10))/2

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

x=−4±√(,10)

Final Answer

x=−4±√(,10)

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