Find a quadratic equation with the given roots. Write your answers in the form Ax2 + Bx + C = 0. Suggestion: Make use of the table given below. r₁ = 3 + √5,r₂ = 3 - √5

Calculus: Early Transcendentals
8th Edition
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find a quadratic equation with the given roots. Write your answers in the form Ax2 + Bx + C = 0.
Suggestion: Make use of the table given below.
r₁ = 3 + √5, r₂ = 3 - i√√5
2
x + 2ix√5 - 14=0
X
Equation
x²+bx+c = 0
x³ + bx² + cx+d=0
Roots
11, 12, 13
Relationships Between
Roots and Coefficients
r₁ + 1₂ = -b
1/2 = c
1₁ + 1₂ + 1₂ = -b
r₁r₂ + r2r3 + r3r1 = C
r₁r2r3 = -d
Transcribed Image Text:Find a quadratic equation with the given roots. Write your answers in the form Ax2 + Bx + C = 0. Suggestion: Make use of the table given below. r₁ = 3 + √5, r₂ = 3 - i√√5 2 x + 2ix√5 - 14=0 X Equation x²+bx+c = 0 x³ + bx² + cx+d=0 Roots 11, 12, 13 Relationships Between Roots and Coefficients r₁ + 1₂ = -b 1/2 = c 1₁ + 1₂ + 1₂ = -b r₁r₂ + r2r3 + r3r1 = C r₁r2r3 = -d
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