Solve Using the Quadratic Formula 2x^2-5x-4=0

Problem

2*x2−5*x−4=0

Solution

1. Identify the coefficients a b and c from the quadratic equation in the form a*x2+b*x+c=0

a=2

b=−5

c=−4

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)2−4*(2)*(−4)))/(2*(2))

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

x=(5±√(,25+32))/4

x=(5±√(,57))/4

5. Separate the result into two distinct solutions for x

x=(5+√(,57))/4

x=(5−√(,57))/4

Final Answer

x=(5±√(,57))/4

Want more problems? Check here!