Domanda del libro di testo
Solve each equation in Exercises 96–102 by the method of your choice. x^3 + 2x^2 = 9x + 18
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Ch. 1 - Equations and Inequalities
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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TOC.tableOfContents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
Capitolo 2, Problema 99
In Exercises 99–106, solve each equation. [(3 + 6)2 ÷ 3] × 4 = - 54 x
Guida verificata passo dopo passo1
First, simplify the expression inside the parentheses: calculate \(3 + 6\).
Next, square the result from the first step: compute \((3 + 6)^2\).
Then, divide the squared result by 3: calculate \(\frac{(3 + 6)^2}{3}\).
Multiply the quotient by 4 as indicated: compute \(\left(\frac{(3 + 6)^2}{3}\right) \times 4\).
Set the expression equal to \(-54x\) and solve for \(x\) by isolating \(x\) on one side of the equation.
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Order of Operations
The order of operations dictates the sequence in which mathematical operations are performed: parentheses first, then exponents, followed by multiplication and division (from left to right), and finally addition and subtraction. Correctly applying this ensures accurate simplification of expressions.
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Solving Linear Equations
Solving linear equations involves isolating the variable on one side of the equation using inverse operations such as addition, subtraction, multiplication, or division. The goal is to find the value of the variable that makes the equation true.
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Distributive Property and Simplification
The distributive property allows you to multiply a sum by multiplying each addend separately and then adding the products. Simplifying expressions using this property helps in reducing complex expressions to simpler forms, making it easier to solve equations.
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04:15Multiply Polynomials Using the Distributive Property
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