Solve Using the Quadratic Formula x^2+5x-36=0

Problem

x2+5*x−36=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=5

c=−36

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=(−5±√(,5−4*(1)*(−36)))/(2*(1))

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

x=(−5±√(,25+144))/2

x=(−5±√(,169))/2

5. Evaluate the square root of the discriminant.

x=(−5±13)/2

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

(x_1)=(−5+13)/2=8/2=4

(x_2)=(−5−13)/2=(−18)/2=−9

Final Answer

x=4,−9

Want more problems? Check here!