Answer
The cousin is correct
Work Step by Step
Because $x^2+4=0$ is the same as $x^2=-4$ and there is no real number when squared to get negative value, the equation has no solution.
Therefore the cousin is correct.
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 9 - Solving Quadratic Equations - 9.3 - Solving Quadratic Equations Using Square Roots - Exercises - Page 502: 34
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