Solve Using the Quadratic Formula 2x^2-3x-4=0

Problem

2*x2−3*x−4=0

Solution

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

a=2

b=−3

c=−4

2. State the quadratic formula.

x=(−b±√(,b2−4*a*c))/(2*a)

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

x=(−(−3)±√(,(−3)2−4*(2)*(−4)))/(2*(2))

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

x=(3±√(,9+32))/4

x=(3±√(,41))/4

5. Separate the solution into two distinct values.

x=(3+√(,41))/4

x=(3−√(,41))/4

Final Answer

x=(3±√(,41))/4

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