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Q8.

Expert-verifiedFound in: Page 513

Book edition
Student Edition

Author(s)
Carter, Cuevas, Day, Holiday, Luchin

Pages
801 pages

ISBN
9780078884801

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

$\underset{\mathbf{\xaf}}{\mathbf{x}\mathbf{-}\mathbf{2}\mathbf{=}\mathbf{0}}$ **is a quadratic equation.**

The statement is false.$a{x}^{2}+x-2=0$is a quadratic equation.

A quadratic equation is a second order equation written as$a{x}^{2}+bx+c=0$where *a*, *b*, and *c* are coefficients of real numbers and$a\ne 0$.

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:

$a(x-{x}_{1})(x-{x}_{2})=0$

where${x}_{1}$and${x}_{1}$are the two roots of the equation.

The given equation is in the form of$(x-a)=0$, 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.

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

Therefore, the statement is false.

If there is addition of the term$a{x}^{2}$in the given equation then it will become a quadratic equation

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