# 1 among all pairs of numbers whose difference is 16

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1. Among all pairs of numbers whose difference is 16, find a pair whose product is as small as possible. What the numbers and what is the minimum product? 2. You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed? Answers: 1. 8 and –8, –64 2. 150ft by 300ft, 45000 sqft 34 Unit 2-­‐1 LT 12. I can use the discriminant to determine the number and type of solutions. CP Algebra 2 Discriminant Name ________________ Fill in the chart: Equation Standard Form Discriminant Number and type of Solutions/Roots 1. 6x 2 + 3x + 4 = 0 2. x 2 = -6x - 9 3. 3x 2 – 6 = -5x 4. 2x 2 – x = -4 35 PRACTICE 5-8 Evaluate the discriminant of each equation. Tell how many solutions each equation has and whether the solutions are real or imaginary. 1 y = x 2 + 10 x – 25 2. y = x 2 + 10 x + 10 3. y = 9 x 2 – 24 x 4. y = 4 x 2 – 4 x + 1 5. y = 4 x 2 – 5 x + 1 6. y = 4 x 2 – 3 x + 1 7. y = x 2 + 3 x + 4 8. y = x 2 + 7 x – 3 9. y = –2 x 2 + 3 x – 5 10. y = x 2 – 5 x + 4 11. y = x 2 + 12 x + 36 12. y = x 2 + 2 x + 3 13. y = 2 x 2 – 13 x – 7 14. y = –5 x 2 + 6 x – 4 15. y = –4 x 2 – 4 x – 1 ANSWERS: 36 Unit 2-1 LT 12 - D55 Discriminant and Number of Solutions “Soil Erosion” 37 Unit 2-1 LT 12 #### You've reached the end of your free preview.

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