Solving an Interesting Absolute Value Equation | Harvard MIT Math Tournament, Q1, 2005

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Hello all. I am posting this video, solving an interesting absolute value equation from Harvard MIT Math tournament (hmmt). How do we solve an equation with three absolute value signs? For this question from Harvard MIT Math Tournament (hmmt), it was interesting to think about the range of x to come up with the answer. Pretty nice algebra question to try. Harvard MIT Math Tournament (hmmt) is full of interesting yet challenging questions that I am planning to cover many of them. Come watch this video until the end to see how we come up with answers with this absolute value equation and with three absolute value signs. More to come! Stay tuned!

#absolutevalue #hmmt #absolutevalueequation
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I think it is faster to graph the two sides.
The LHS is trivial. The RHS is constant between 2&3, with a value of 1. Then each side goes up with a slope of +/-2. This is steeper than either line for the LHS, and below it in the middle. Thus there are two solutions.

Utesfan
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Great explanation, very detailed and helpful

huiwang
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The explanation is spot on, as always. Enjoyed this one, well-chosen question. Keep up the great work 👍

tiernanomahoney
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Wonderful upload, really enjoyed watching as always, thank you for sharing!

zennegrade
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Good problem based on the basic definition of |x|

mukutchatterjee
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love this algebra question, the solution was very well explained, thanks for sharing

math
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Exelente resolución Dr. Me sería genial que interactuemos a través de nuestros canales de YouTube.

aignerreyes
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Vengo de parte del profe John del canal MathRocks

diegofer
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I think drawing the graphs of the two functions could be another explanation.

h.c
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Hola, dirias que la eduacion en corea es de mucha presion? en mi pais la educacion en mala sobrevives de manera autodidacta por eso muchos bolivianos huyen de ahi en especial los cientificos, si estas interesado te cuento un poco mas de la educacion en mi pais pero mis padres me inscribieron en una escuela catolica y se diria que estoy a salvo d ela mala educacion en cierto modo.

mijaelmarcelovillarroelchu