Question

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Answer 1

Answer:

Step-by-step explanation:

1) 6  and -5

x₁ + x₂  = 6 +(-5) = 1

x₁* x₂   = 6*(-5) = -30

x² -(x₁ + x₂)x + (x₁* x₂)=0

x² - x  - 30 = 0

2) 4 and 7

x₁ + x₂  =4 + 7 = 11

x₁* x₂   = 4*7 = 28

x² - 11x + 28 = 0

3) 1 and -10

x₁ + x₂  = 1 +(-10) = -9

x₁* x₂   = 1*(-10) = -10

x²  - 9x - 10 = 0

4) -9 and 0

x₁ + x₂  = -9 + 0 = -9

x₁* x₂   = 0

x² - (-9)x  = 0

x² + 9x = 0

5)2 and 6

x₁ + x₂  = 2 + 6 = 8

x₁* x₂   = 2*6 = 12

x² -8x + 12 = 0

8) 2 +√3  and 2 - √3

x₁ + x₂  = 2+ √3 + 2 - √3 = 4

x₁* x₂   = (2 + √3)(2 - √3) = 2² - (√3)² 4 - 3 = 1

x² - 4x + 1 = 0