Big Ideas Math - Algebra 1, A Common Core Curriculum

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 - 9.2 - Solving Quadratic Equations by Graphing - Monitoring Progress - Page 491: 4

Answer

$x=6$

Work Step by Step

The given equation is $x^2+36=12x$ Subtract $12x$ from each side. $x^2+36-12x=12x-12x$ Simplify. $x^2+36-12x=0$ $x^2-12x+36=0$ Graph the related function. $f(x)=x^2-12x+36$ The $x-$intercept is $6$. Hence, the solution is $x=6$.
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