Question

If $x=5,$ why does $x^{2}+x=30 ?$

Name: Problem 112, Chapter 0: College Algebra
Uploaded: 2020-05-19T20:12:26-08:00
Duration: 48 s
Channel: Victoria Karaluz
Description: If x=5, why does x^2+x=30 ?

   If $x=5,$ why does $x^{2}+x=30 ?$

College Algebra

Michael Sullivan 11th Edition

Chapter 0, Problem 112

Instant Answer

Solved by Expert Victoria Karaluz

05/19/2020

Step 1

Step 1: Substitute the given value of $ x = 5 $ into the expression $ x^2 + x $. Show more…

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If $x=5,$ why does $x^{2}+x=30 ?$

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Key Concepts

Variable Substitution

Variable substitution is the process of replacing a variable with its given numerical value in an expression. In this problem, the variable x is given the value 5, and by substituting this value into the expression x² + x, we can evaluate the expression using numerical arithmetic.

Exponentiation

Exponentiation refers to raising a number to a power, which tells us how many times to multiply the number by itself. In this expression, x² means that 5 is multiplied by itself 2 times, resulting in 25.

Order of Operations

The order of operations is a set of rules that determines the sequence in which operations should be performed in a mathematical expression. According to the order of operations, exponentiation is performed before addition. So, after calculating 5² as 25, the next step is to add x (which is 5) to get the final result of 30.

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