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

Problem

v2+2*v−8=0

Solution

1. Identify the coefficients a b and c from the quadratic equation in the form a*v2+b*v+c=0

a=1

b=2

c=−8

2. State the quadratic formula used to find the roots of the equation.

v=(−b±√(,b2−4*a*c))/(2*a)

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

v=(−(2)±√(,(2)2−4*(1)*(−8)))/(2*(1))

4. Simplify the expression inside the square root, also known as the discriminant.

v=(−2±√(,4+32))/2

v=(−2±√(,36))/2

5. Evaluate the square root and simplify the fraction to find the two possible values for v

v=(−2±6)/2

6. Calculate the first solution by using the plus sign.

v=(−2+6)/2=4/2=2

7. Calculate the second solution by using the minus sign.

v=(−2−6)/2=(−8)/2=−4

Final Answer

v=2,−4

Want more problems? Check here!