Q39. Solve for x if聽det2x5鈭�3=24.... [FREE SOLUTION]

Chapter 4: Q39. (page 186)

Solve for x if $\det [\begin{matrix} 2 & x \\ 5 & 鈭� 3 \end{matrix}] = 24$ .

Short Answer

Expert verified

The value of $x = - 6$ .

Step by step solution

- Define the determinant of second-order matrix

The determinant of second order matrix is found by calculating the difference of the product of the two diagonals, that is., $|\begin{matrix} a & b \\ c & d \end{matrix}| = a d 鈭� b c$ .

- Find the determinant

Apply the definition of the method of finding determinant of second order

matrix $\det [\begin{matrix} 2 & x \\ 5 & 鈭� 3 \end{matrix}]$ .

$\begin{matrix} \det [\begin{matrix} 2 & x \\ 5 & 鈭� 3 \end{matrix}] = 24 \\ 2 脳 (鈭� 3) 鈭� 5 (x) = 24 \end{matrix}$

- Simplify for x

To further simplify multiply the values first and then find the difference.

$\begin{matrix} 2 脳 (鈭� 3) 鈭� 5 (x) = 24 \\ 鈭� 6 鈭� 5 x = 24 \\ 鈭� 6 鈭� 5 x + 6 = 24 + 6 \\ 鈭� 5 x = 20 \\ x = 鈭� 6 \end{matrix}$

Therefore, $x = - 6$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Solve for x if $\det [\begin{matrix} 2 & x \\ 5 & 鈭� 3 \end{matrix}] = 24$ .

Short Answer

Step by step solution

- Define the determinant of second-order matrix

- Find the determinant

- Simplify for x

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Statistics

Probability and Statistics

Calculus

Study anywhere. Anytime. Across all devices.

91影视

Solve for x ifdet2x5鈭�3=24.

Short Answer

Step by step solution

- Define the determinant of second-order matrix

- Find the determinant

- Simplify for x

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Statistics

Probability and Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Solve for x if $\det [\begin{matrix} 2 & x \\ 5 & 鈭� 3 \end{matrix}] = 24$ .