Solve Using the Quadratic Formula x^2+10x+9=0

Problem

x2+10*x+9=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=10

c=9

2. Apply the quadratic formula to find the values of x

x=(−b±√(,b2−4*a*c))/(2*a)

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

x=(−10±√(,10−4*(1)*(9)))/(2*(1))

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

x=(−10±√(,100−36))/2

x=(−10±√(,64))/2

5. Evaluate the square root.

x=(−10±8)/2

6. Solve for the two possible values of x by calculating both the plus and minus cases.

(x_1)=(−10+8)/2=(−2)/2=−1

(x_2)=(−10−8)/2=(−18)/2=−9

Final Answer

x=−1,−9

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