Find a quadratic equation with the given roots. Write your answers in the form Ax2 + Bx + C = 0. Suggestion: Make use of the table below. ₁ = a + √b₁ r₂ = a√b (b>0)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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 below.
r₁ = a + √b₁ r₂ = a - √b (b> 0)
Equation
x² + bx + c = 0
x³ + bx² + cx+d=0
Roots
11, 12
11, 12, 13
Relationships Between
Roots and Coefficients
r₁+12₂= -b
r1r₂ = c
r₁ + 1₂ + 1₂ = -b
rir₂ + r₂r3 + r3r₁ = c
1r2r3 = -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 below. r₁ = a + √b₁ r₂ = a - √b (b> 0) Equation x² + bx + c = 0 x³ + bx² + cx+d=0 Roots 11, 12 11, 12, 13 Relationships Between Roots and Coefficients r₁+12₂= -b r1r₂ = c r₁ + 1₂ + 1₂ = -b rir₂ + r₂r3 + r3r₁ = c 1r2r3 = -d
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