Solve Using the Quadratic Formula 2x^2+x-6=0

Problem

2*x2+x−6=0

Solution

1. Identify the coefficients a b and c from the standard form a*x2+b*x+c=0

a=2

b=1

c=−6

2. State the quadratic formula.

x=(−b±√(,b2−4*a*c))/(2*a)

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

x=(−1±√(,1−4*(2)*(−6)))/(2*(2))

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

x=(−1±√(,1+48))/4

x=(−1±√(,49))/4

5. Evaluate the square root.

x=(−1±7)/4

6. Solve for both possible values of x by splitting the plus and minus signs.

x=(−1+7)/4=6/4=3/2

x=(−1−7)/4=(−8)/4=−2

Final Answer

x=3/2,−2

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