Solve Using the Quadratic Formula x^2+3x-6=0

Problem

x2+3*x−6=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=3

c=−6

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=(−(3)±√(,(3)2−4*(1)*(−6)))/(2*(1))

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

x=(−3±√(,9+24))/2

x=(−3±√(,33))/2

5. Separate the expression into the two possible solutions for x

x=(−3+√(,33))/2

x=(−3−√(,33))/2

Final Answer

x=(−3±√(,33))/2

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