Topic: SUM AND PRODUCT OF ROOTS OF A QUADRATIC EQUATION Activity 1: This is My Sum, and This is My Product. Who Am I? Directions: Using the values of a, b, and c of each of the following quadratic equation solve for the sum and product of roots. Check your answer by using the roots of the quadratic equation. Quadratic Equation x²+4x+3=0 x² - 7x-8=0 6x²+12x-18=0 2x²+3x-2=0 x²-9x+14=0 Sum of the Roots Product of the Roots Roots
Answers & Comments
Answer:
Here are the sums and products of the roots for the given quadratic equations:
1. Quadratic Equation: x² + 4x + 3 = 0
Sum of the Roots: -4
Product of the Roots: 3
Roots: -1 and -3
2. Quadratic Equation: x² - 7x - 8 = 0
Sum of the Roots: 7
Product of the Roots: -8
Roots: 8 and -1
3. Quadratic Equation: 6x² + 12x - 18 = 0
Sum of the Roots: -2
Product of the Roots: -3
Roots: -3 and 1/2
4. Quadratic Equation: 2x² + 3x - 2 = 0
Sum of the Roots: -3/2
Product of the Roots: -1
Roots: -2 and 1/2
5. Quadratic Equation: x² - 9x + 14 = 0
Sum of the Roots: 9
Product of the Roots: 14
Roots: 7 and 2