We appreciate your visit to If tex 4x 2 100 0 tex the roots of the equation are 1 25 and 25 2 25 only 3 5 and 5 4. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
We start with the equation
[tex]$$
4x^2 - 100 = 0.
$$[/tex]
First, add [tex]$100$[/tex] to both sides:
[tex]$$
4x^2 = 100.
$$[/tex]
Next, divide both sides of the equation by [tex]$4$[/tex]:
[tex]$$
x^2 = \frac{100}{4} = 25.
$$[/tex]
Now, solve for [tex]$x$[/tex] by taking the square root of both sides:
[tex]$$
x = \sqrt{25} = 5
$$[/tex]
and
[tex]$$
x = -\sqrt{25} = -5.
$$[/tex]
Thus, the equation has two roots: [tex]$5$[/tex] and [tex]$-5$[/tex].
The correct answer is Option 3: [tex]$-5$[/tex] and [tex]$5$[/tex].
[tex]$$
4x^2 - 100 = 0.
$$[/tex]
First, add [tex]$100$[/tex] to both sides:
[tex]$$
4x^2 = 100.
$$[/tex]
Next, divide both sides of the equation by [tex]$4$[/tex]:
[tex]$$
x^2 = \frac{100}{4} = 25.
$$[/tex]
Now, solve for [tex]$x$[/tex] by taking the square root of both sides:
[tex]$$
x = \sqrt{25} = 5
$$[/tex]
and
[tex]$$
x = -\sqrt{25} = -5.
$$[/tex]
Thus, the equation has two roots: [tex]$5$[/tex] and [tex]$-5$[/tex].
The correct answer is Option 3: [tex]$-5$[/tex] and [tex]$5$[/tex].
Thanks for taking the time to read If tex 4x 2 100 0 tex the roots of the equation are 1 25 and 25 2 25 only 3 5 and 5 4. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
