Solve Using the Quadratic Formula x^2+5x-14=0

Problem

x2+5*x−14=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=−14

2. State the quadratic formula used to find the roots of the equation.

x=(−b±√(,b2−4*a*c))/(2*a)

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

x=(−5±√(,5−4*(1)*(−14)))/(2*(1))

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

x=(−5±√(,25+56))/2

x=(−5±√(,81))/2

5. Evaluate the square root.

x=(−5±9)/2

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

(x_1)=(−5+9)/2=4/2=2

(x_2)=(−5−9)/2=(−14)/2=−7

Final Answer

x=2,−7

Want more problems? Check here!