Final answer:
To solve the quadratic equation 2x^2 + 3x - 4, set the equation to zero and apply the quadratic formula with coefficients a=2, b=3, and c=-4 to find the solutions for x.
Step-by-step explanation:
When you see an equation of the form 2x2 + 3x - 4, your goal is to find the solutions for x that satisfy this equation. One way to solve the equation is by using the quadratic formula, which is applicable to any quadratic equation of the form ax2 + bx + c = 0. To use the quadratic formula, first make sure your equation is set equal to zero. In your case, it is already in that form.
Next, identify the coefficients a, b, and c where a = 2, b = 3, and c = -4. Substitute these into the quadratic formula x = (-b ± √(b2 - 4ac)) / (2a) and calculate the two potential solutions for x.
If you are given special cases, such as the equation being a perfect square or other alternative methods mentioned, these can simplify the process of solving the quadratic equation. Yet, the quadratic formula is a reliable method that can be used in all situations.