Chapter 5: Q. 2 (page 315)

Solve $(x + 3)^{2} - 4 (x + 3) + 3 = 0$ .

Short Answer

Expert verified

The solution of the equation is ${- 2, 0}$ .

Step by step solution

Step 1. Given information

$Thegivenequationis {(x + 3)}^{2} - 4 (x + 3) + 3 = 0.$

We have to find the solution of the equation i.e the value of that satisfies the given equation.

Step 2. Form the factors

$\begin{array}{l} \Rightarrow {(x + 3)}^{2} - 4 (x + 3) + 3 = 0 \\ \Rightarrow x^{2} + 3^{2} + 6 x - 4 x - 12 + 3 = 0 [Expandtheterm] \\ \Rightarrow x^{2} + 9 + 2 x - 9 = 0 [Combinetheliketerms] \\ \Rightarrow x^{2} + 2 x = 0 \\ \Rightarrow x (x + 2) =0 [Formthefactors] \end{array}$

Step 3. Solve for x

$\begin{array}{l} Byzeroproductrule, \\ \Rightarrow x = 0 \\ and, \\ \Rightarrow x + 2 = 0 \\ \Rightarrow x = - 2 \\ Thesolutionsetis \{- 2, 0\} \end{array}$

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Solve $(x + 3)^{2} - 4 (x + 3) + 3 = 0$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Form the factors

Step 3. Solve for x

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Solve(x+3)2-4(x+3)+3=0.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Form the factors

Step 3. Solve for x

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Pure Maths

Geometry

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Solve $(x + 3)^{2} - 4 (x + 3) + 3 = 0$ .