<u>Answer</u>
discriminant = <em><u>73</u></em>
The discriminant determines whether the equation has real root or it has imaginary roots. The equation has 2 real solutions
<u>Explanation</u>
0=-2x²-3x+8 ⇒ <em>-2x² -3x + 8 = 0</em>
Now the equation resembles the general quadratic formula ax² + bx + c = 0
The discriminant is b^2-4ac = (-3)² -(4 × -2 × 8)
= 9 + 64
= 73
The discriminant determines whether the equation has real root or it has imaginary roots. When b^2-4ac is equal to positive number the equation has a real roots or solutions, when negative, then the solutions are imaginary numbers.