Solve Using the Quadratic Formula 2x^2+5x-3=0

Problem

2*x2+5*x−3=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=−3

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*(2)*(−3)))/(2*(2))

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

x=(−5±√(,25+24))/4

x=(−5±√(,49))/4

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

x=(−5±7)/4

6. Calculate the first solution using the plus sign.

x=(−5+7)/4=2/4=1/2

7. Calculate the second solution using the minus sign.

x=(−5−7)/4=(−12)/4=−3

Final Answer

x=1/2,−3

Want more problems? Check here!