7 - The roots of a quadratic equation are a and ß where a + B = - 3 and aß = -2 (a) Find a quadratic equation, with integer coefficients, which has roots a and ß Given that a > ß and without solving the equation, 11 (b) show that a –, -ß = 3 (c) form a quadratic equation, with integer coefficients, which has roots a + B а — В and B a

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 61PFA
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Question
7
The roots of a quadratic equation are a and ß where a + B = - 3 and aß = -2
(a) Find a quadratic equation, with integer coefficients, which has roots a and ß
Given that a > ß and without solving the equation,
11
(b) show that a - B = 3
(c) form a quadratic equation, with integer coefficients, which has roots
a + B
а — В
and
Transcribed Image Text:7 The roots of a quadratic equation are a and ß where a + B = - 3 and aß = -2 (a) Find a quadratic equation, with integer coefficients, which has roots a and ß Given that a > ß and without solving the equation, 11 (b) show that a - B = 3 (c) form a quadratic equation, with integer coefficients, which has roots a + B а — В and
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