39. x2-8x + 17 = 0 40. x² + 29 = 10x %3D %3D

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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### Solving Quadratic Equations: Problems 39-46

Below are a series of quadratic equations that need to be solved. Quadratic equations are equations of the form \( ax^2 + bx + c = 0 \). The solutions can be found using different methods such as factoring, completing the square, or using the quadratic formula.

#### 39.
\[ x^2 - 8x + 17 = 0 \]

#### 40.
\[ x^2 + 29 = 10x \]

#### 41.
\[ x^2 - 6x + 14 = 0 \]

#### 42.
\[ x^2 - 12x + 45 = 6 \]

Here, each problem lists a specific quadratic equation that you need to solve. Use the most suitable method to find the values of \( x \) that satisfy each equation. Make sure to check all your work for accuracy, and you may find it helpful to graph these equations to visualize their solutions.
Transcribed Image Text:### Solving Quadratic Equations: Problems 39-46 Below are a series of quadratic equations that need to be solved. Quadratic equations are equations of the form \( ax^2 + bx + c = 0 \). The solutions can be found using different methods such as factoring, completing the square, or using the quadratic formula. #### 39. \[ x^2 - 8x + 17 = 0 \] #### 40. \[ x^2 + 29 = 10x \] #### 41. \[ x^2 - 6x + 14 = 0 \] #### 42. \[ x^2 - 12x + 45 = 6 \] Here, each problem lists a specific quadratic equation that you need to solve. Use the most suitable method to find the values of \( x \) that satisfy each equation. Make sure to check all your work for accuracy, and you may find it helpful to graph these equations to visualize their solutions.
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