Solve Using the Quadratic Formula x^2+8x-20=0

Problem

x2+8*x−20=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=−20

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)2−4*(1)*(−20)))/(2*(1))

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

x=(−8±√(,64+80))/2

x=(−8±√(,144))/2

5. Evaluate the square root and simplify the fraction.

x=(−8±12)/2

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

x=(−8+12)/2=4/2=2

x=(−8−12)/2=(−20)/2=−10

Final Answer

x=2,−10

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