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Algebra 1
Found in: Page 513
Algebra 1

Algebra 1

Book edition Student Edition
Author(s) Carter, Cuevas, Day, Holiday, Luchin
Pages 801 pages
ISBN 9780078884801

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Short Answer

State whether each sentence is true or false. If false, replace the underlined phrase or expression to make a true sentence.

x2=0¯ is a quadratic equation.

The statement is false.ax2+x2=0is a quadratic equation.

See the step by step solution

Step by Step Solution

Step 1. State the concept for quadratic equation.

A quadratic equation is a second order equation written asax2+bx+c=0where a, b, and c are coefficients of real numbers anda0.

A quadratic equation generally has two roots, which can be equal to each other. Some quadratic expressions can be factored, which means that the equation can be written as:


wherex1andx1are the two roots of the equation.

Step 2. State the concept for linear equation.

The given equation is in the form of(xa)=0, where a is the root or the solution of the equation. The equation is a simple linear equation which has order equal to 1. That means highest power of the variable x is 1.

Step 3. Compare the equation.

Referring to the given equation, it does not match with the above equation.

Therefore, the statement is false.

If there is addition of the termax2in the given equation then it will become a quadratic equation

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