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

Problem

4*x2−5*x−2=0

Solution

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

a=4

b=−5

c=−2

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 of a b and c into the formula.

x=(−(−5)±√(,(−5)2−4*(4)*(−2)))/(2*(4))

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

x=(5±√(,25+32))/8

5. Combine the terms under the radical to find the final simplified form of the solutions.

x=(5±√(,57))/8

Final Answer

x=(5±√(,57))/8

Want more problems? Check here!