To solve the equation 2x² + 5x - 4 = 0, we can use the quadratic formula.
The quadratic formula is given by:
x = (-b ± √(b² - 4ac)) / (2a)
In this equation, a = 2, b = 5, and c = -4.
Substituting these values into the quadratic formula, we get:
x = (-(5) ± √((5)² - 4(2)(-4))) / (2(2))
Simplifying further:
x = (-5 ± √(25 + 32)) / 4
x = (-5 ± √57) / 4
So, the solutions to the equation 2x² + 5x - 4 = 0 are:
x = (-5 + √57) / 4
x = (-5 - √57) / 4
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