Chapter 9: Q69. (page 481)

Solve ${(x - 2)}^{2} + 1 = 37$ . Describe the steps you use.

Short Answer

Expert verified

The solution of equation is $x = 8, - 4$ .

Step by step solution

Step 1. Given Information.

The given equation is ${(x - 2)}^{2} + 1 = 37$ .

Step 2. Calculation.

The expression can be solved as

$\begin{matrix} {(x - 2)}^{2} + 1 = 37 \\ {(x - 2)}^{2} = 37 - 1 \\ x^{2} + 4 - 4 x = 36 \\ x^{2} - 4 x - 32 = 0 \end{matrix}$

On further simplification,

$\begin{array}{c} x^{2} - 8 x + 4 x - 32 = 0 \\ x (x - 8) + 4 (x - 8) = 0 \\ (x - 8) (x + 4) = 0 \\ x = 8, - 4 \end{array}$

Step 3. Conclusion.

The solution of equation is $x = 8, - 4$ .

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Solve ${(x - 2)}^{2} + 1 = 37$ . Describe the steps you use.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Solve(x−2)2+1=37. Describe the steps you use.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Calculus

Decision Maths

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Solve ${(x - 2)}^{2} + 1 = 37$ . Describe the steps you use.