Question

Which equation shows the quadratic formula used correctly to solve 5x² + 3x - 4 = 0 for x?

1) x = (-3 ± √(3² - 4(5)(-4))) / (2(5))
2) x = (-3 ± √(3² - 4(5)(-4))) / (2(5))
3) x = (-3 ± √(3² - 4(5)(-4))) / (2(5))
4) x = (-3 ± √(3² - 4(5)(-4))) / (2(5))

Answer 1

The correct equation that shows the quadratic formula used correctly to solve 5x² + 3x - 4 = 0 for x is x = (-3 ± √(3² - 4(5)(-4))) / (2(5)).

Step-by-step explanation:

The correct equation that shows the quadratic formula used correctly to solve 5x² + 3x - 4 = 0 for x is:

x = (-3 ± √(3² - 4(5)(-4))) / (2(5))

The quadratic formula is used to solve quadratic equations of the form ax² + bx + c = 0. By substituting the values of a, b, and c from the given equation into the quadratic formula, we can find the solutions for x.