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 standard 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 values of a b and c into the formula.

x=(−8±√(,8−4*(1)*(−6)))/(2*(1))

4. Simplify the expression inside the square root, which is the discriminant.

x=(−8±√(,64+24))/2

x=(−8±√(,88))/2

5. Factor the square root by finding the largest perfect square divisor of 88

x=(−8±√(,4⋅22))/2

x=(−8±2√(,22))/2

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

x=−4±√(,22)

Final Answer

x=−4±√(,22)

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