Math / Algebra

Question $x^{2}=36$

Studdy Solution

STEP 1

What is this asking? This problem is asking us to find a number, $x$ , that when multiplied by itself equals 36. Watch out! Remember that there can be two answers when we're dealing with squares!

STEP 2

1. Find the square root of 36.
2. Consider the negative square root.

STEP 3

Let's find the square root of 36!
What number multiplied by itself gives us 36?
Well, that's 6 because $6 \cdot 6 = 36$ .
So, $x = 6$ is definitely a solution!

STEP 4

But hold on!
A negative number multiplied by itself also gives a positive result.
What about -6?
Let's check: $(-6) \cdot (-6) = 36$ Wowzers! It works!
So $x = -6$ is also a solution.

STEP 5

The solutions to $x^2 = 36$ are $x = 6$ and $x = -6$ .
We've got two answers!

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Question $x^{2}=36$

Studdy Solution

STEP 1

What is this asking? This problem is asking us to find a number, $x$ , that when multiplied by itself equals 36. Watch out! Remember that there can be two answers when we're dealing with squares!

STEP 2

1. Find the square root of 36.
2. Consider the negative square root.

STEP 3

Let's find the square root of 36!
What number multiplied by itself gives us 36?
Well, that's 6 because $6 \cdot 6 = 36$ .
So, $x = 6$ is definitely a solution!

STEP 4

But hold on!
A negative number multiplied by itself also gives a positive result.
What about -6?
Let's check: $(-6) \cdot (-6) = 36$ Wowzers! It works!
So $x = -6$ is also a solution.

STEP 5

The solutions to $x^2 = 36$ are $x = 6$ and $x = -6$ .
We've got two answers!

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Questionx2=36x^{2}=36x2=36

Studdy Solution

STEP 1

What is this asking? This problem is asking us to find a number, xxx, that when multiplied by itself equals **36**. Watch out! Remember that there can be *two* answers when we're dealing with squares!

STEP 2

1. Find the square root of 36.2. Consider the negative square root.

STEP 3

Let's **find the square root** of 36!What number multiplied by itself gives us 36?Well, that's **6** because 6⋅6=366 \cdot 6 = 366⋅6=36.So, x=6x = 6x=6 is definitely a solution!

STEP 4

But hold on!A negative number multiplied by itself also gives a *positive* result.What about **-6**?Let's check: (−6)⋅(−6)=36(-6) \cdot (-6) = 36(−6)⋅(−6)=36 Wowzers! It works!So x=−6x = -6x=−6 is *also* a solution.

STEP 5

The solutions to x2=36x^2 = 36x2=36 are x=6x = 6x=6 and x=−6x = -6x=−6.We've got two answers!

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question $x^{2}=36$

What is this asking? This problem is asking us to find a number, $x$ , that when multiplied by itself equals 36. Watch out! Remember that there can be two answers when we're dealing with squares!

1. Find the square root of 36.
2. Consider the negative square root.

Let's find the square root of 36!
What number multiplied by itself gives us 36?
Well, that's 6 because $6 \cdot 6 = 36$ .
So, $x = 6$ is definitely a solution!

But hold on!
A negative number multiplied by itself also gives a positive result.
What about -6?
Let's check: $(-6) \cdot (-6) = 36$ Wowzers! It works!
So $x = -6$ is also a solution.

The solutions to $x^2 = 36$ are $x = 6$ and $x = -6$ .
We've got two answers!