For questions 56: Find the discriminant (b^2-4ac) of the following quadratics. You can earn: 1 point for showing your work (what did you identify as a , b, and c; how did you substitute them) 1 point for working out the correct value. 5. 3x^2-4x+7=0 6 2x^2+5x-8=7

To find the discriminant of a quadratic equation in the form , we use the formula for the discriminant: Let's solve each problem step by step:### Problem 1: 1. **Identify , , and :** - - - 2. **Substitute into the discriminant formula:** 3. **Calculate:** The discriminant for the quadratic is .### Problem 2: First, rewrite the equation in standard form by moving all terms to one side: This simplifies to: 1. **Identify , , and :** - - - 2. **Substitute into the discriminant formula:** 3. **Calculate:** The discriminant for the quadratic is .In summary:- The discriminant for is .- The discriminant for is .