Question

Solve the equation 2x^(2)+5x-8=0, giving your answers correct to 2 decimal places.

Answer 1

To solve the equation 2x^2 + 5x - 8 = 0, you can use the quadratic formula. The solutions to the equation are x = 1 and x = -4.

Step-by-step explanation:

To solve the equation 2x^2 + 5x - 8 = 0:

1. Identify the coefficients: a = 2, b = 5, c = -8.
2. Plug in the values into the quadratic formula: x= (-b±√(b^2-4ac))/(2a)
3. Calculate the discriminant, which is the part inside the square root: b^2-4ac
4. Substitute the values into the quadratic formula and solve for x.
5. Round the solutions to 2 decimal places.

Using these steps, the solutions to the equation are x = 1 and x = -4.