MathDB

2020 Team #5

Source:

October 24, 2023

team test

Problem Statement

Two quadratic polynomials

A(x)

and

B(x)

have a leading term of

x^2

. For some real numbers

a

and

b

, the roots of

A(x)

are

1

and

a

, and the roots of

B(x)

are

6

and

b

. If the roots of

A(x) + B(x)

are

a + 3

and

b + \frac1 2

, then compute

a^2 + b^2

.

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