Solve Using the Quadratic Formula x^2+18x+81=0

Problem

x2+18*x+81=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=18

c=81

2. Substitute these values into the quadratic formula.

x=(−b±√(,b2−4*a*c))/(2*a)

x=(−18±√(,18−4*(1)*(81)))/(2*(1))

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

x=(−18±√(,324−324))/2

x=(−18±√(,0))/2

4. Solve for x by evaluating the remaining arithmetic.

x=(−18±0)/2

x=(−18)/2

x=−9

Final Answer

x=−9

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