Without his pencil or calculator, joey knows that 2x³+3x²− 1 = 0 has at least one real solution. how does he know?

Find the discriminant

Check explanation

Step-by-step explanation:

b^2-4ac

if it is equal to 0 there is no solution

Greater then 0 there is 2 real solution

Less then 0 there is 1 real

3^2-4(2*-1)

9-4(-2)

9(8)

72 there is at least one real solution

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42