Solve Using the Quadratic Formula x^2+5x-24=0

Problem

x2+5*x−24=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=−24

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)*(−24)))/(2*(1))

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

x=(−5±√(,25+96))/2

x=(−5±√(,121))/2

5. Evaluate the square root and solve for the two possible values of x

x=(−5±11)/2

6. Calculate the first solution using the plus sign.

x=(−5+11)/2=6/2=3

7. Calculate the second solution using the minus sign.

x=(−5−11)/2=(−16)/2=−8

Final Answer

x=3,−8

Want more problems? Check here!