Solve Using the Quadratic Formula x^2+8x-9=0

Problem

x2+8*x−9=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=−9

2. Apply the formula for the quadratic equation, which is x=(−b±√(,b2−4*a*c))/(2*a)

x=(−8±√(,8−4*(1)*(−9)))/(2*(1))

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

x=(−8±√(,64+36))/2

x=(−8±√(,100))/2

4. Evaluate the square root and simplify the fraction.

x=(−8±10)/2

5. Solve for both possible values of x by calculating the addition and subtraction cases separately.

x=(−8+10)/2=2/2=1

x=(−8−10)/2=(−18)/2=−9

Final Answer

x=1,−9

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