Solve Using the Quadratic Formula x^2+6x-27=0

Problem

x2+6*x−27=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=6

c=−27

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=(−6±√(,6−4*(1)*(−27)))/(2*(1))

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

x=(−6±√(,36+108))/2

x=(−6±√(,144))/2

5. Evaluate the square root and simplify the fraction.

x=(−6±12)/2

6. Solve for the two possible values of x by calculating both the addition and subtraction cases.

x=(−6+12)/2⇒x=6/2⇒x=3

x=(−6−12)/2⇒x=(−18)/2⇒x=−9

Final Answer

x=3,−9

Want more problems? Check here!