WORKSHEET 9-5 Algebra 1 Name ________________________________________ Class Hour __________ Directions: Short Answer 1. Does the discriminant give the exact roots of a quadratic equation (The points where the parabola crosses the x-axis)? 2. How is the discriminant related to the quadratic formula? 3. Explain WHY… a. If b2 – 4ac > 0 WHY are there 2 roots? b. If b2 – 4ac = 0 WHY is there only 1 root? c. If b2 – 4ac < 0 WHY are there no roots? Directions: 1) Find the Discriminant (b2 – 4ac) 2) Determine the number of the roots (2 roots, 1 root or NO roots) 3) Use the Quadratic formula to find the EXACT Roots ( 4. x2 + 3x – 4 = 0 a = _____ b ± b2 2a 4ac ) 5. 2x2 + 4x + 1 = 0 b = _____ c = _____ a = _____ b = _____ c = _____ Discriminant: Discriminant: Number of Roots: ___________________ Number of Roots: ___________________ Quadratic Formula: Quadratic Formula: You created this PDF from an application that is not licensed to print to novaPDF printer (http://www.novapdf.com) Directions: 1) Find the Discriminant (b2 – 4ac) 2) Determine the number of the roots (2 roots, 1 root or NO roots) 3) Use the Quadratic formula to find the EXACT Roots ( 6. 5x2 – 3 = 0 a = _____ b ± b2 2a 4ac ) 7. 3x2 – 10x b = _____ c = _____ a = _____ b = _____ c = _____ Discriminant: Discriminant: Number of Roots: ___________________ Number of Roots: ___________________ Quadratic Formula: Quadratic Formula: 8. 2x2 + 7x + 50 = 0 9. 4x2 – 5x = 11 a = _____ b = _____ c = _____ a = _____ b = _____ c = _____ Discriminant: Discriminant: Number of Roots: ___________________ Number of Roots: ___________________ Quadratic Formula: Quadratic Formula: You created this PDF from an application that is not licensed to print to novaPDF printer (http://www.novapdf.com) Directions: Find the Roots using the method indicated. (HINT: Begin by solving for "y") 10. GRAPH: y – 5 = x2 + 6x + 3 D: W. A: V: R: 11. FACTOR: y – 5 = x2 + 6x + 3 12. COMPLETE THE SQUARE: y – 5 = x2 + 6x + 3 13. USE THE QUADRATIC FORMULA: y – 5 = x2 + 6x + 3 Disc: # of Roots: _______________ Quad Formula: 14. Did you get the same “answer” for 10 – 13? _________ Should you have? ____________ Why or Why Not?? You created this PDF from an application that is not licensed to print to novaPDF printer (http://www.novapdf.com)