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Concept Check Study this incorrect "solution." WHAT WENT WRONG?$$\begin{array}{c}{x=\sqrt{3 x+4}} \\{x^{2}=3 x+4}\end{array}$$$\begin{aligned} x^{2}-3 x-4 &=0 \\(x-4)(x+1) &=0 \\ x-4=0 & \text { or } x+1=0 \\ x=4 & \text { or } \quad x=-1 \end{aligned}$Solution set: $\{4,-1\}$

-1, $\{4\}$

Precalculus

Algebra

Chapter 11

Quadratic Equations, Inequalities, and Functions

Section 4

Equations Quadratic in Form

Introduction to Conic Sections

Equations and Inequalities

Functions

Polynomials

Missouri State University

Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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02:12

Concept Check Study this i…

00:55

Study this incorrect "…

00:59

00:28

Consider this incorrect “s…

04:30

Solve the equation. Check …

02:32

Solve the equations.$$…

00:45

Explain the mistake that i…

01:51

05:08

Find all solutions of the …

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00:13

Simplify each root. See Examples 8 and 9.$$\sqrt{(-q)^{2}}$$

Solve each equation by using the square root property. Simplify all radicals…

00:48

Find each product. See Sections 4.5 and 4.6.$$(3 x+7)(2 x-6)$$

02:37

Solve each equation for the indicated variable. (Leave $\pm$ in your answers…

00:35

Find the non real complex solutions of each equation. See Example 6$$

01:38

The Greeks had a method of completing the square geometrically in which they…

01:26

Solve each problem. Give answers as simplified radical expressions.Find …

Use the quadratic formula to solve each equation. (All solutions for these e…

00:18

Evaluate each exponential. See Examples $1-3$$$81^{3 / 4}$$

01:01