Final Answer:
The solutions of the equation 2x^2 + x - 10 = 0 are x = -2 and x = 2.5.
Step-by-step explanation:
The equation 2x^2 + x - 10 = 0 is a quadratic equation.
To find the solutions, use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a), where a = 2, b = 1, and c = -10.
Substitute the values into the formula: x = (-1 ± √(1 + 80)) / 4.
Simplify the expression under the square root: x = (-1 ± √81) / 4.
Simplify further: x = (-1 ± 9) / 4.
The two solutions are x = -2 and x = 2.5.
Therefore, the solutions of the equation are x = -2 and x = 2.5.