Solve for X: Finding the Value in x·x = 49

Solve for X:

x⋅x=49 x\cdot x=49

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find X
00:03 Any number multiplied by itself is actually squared
00:08 Let's find the square root
00:12 When finding a square root there are always 2 solutions (positive, negative)
00:15 And that's the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve for X:

x⋅x=49 x\cdot x=49

2

Step-by-step solution

We first rearrange and then set the equations to equal zero.

x2−49=0 x^2-49=0

x2−72=0 x^2-7^2=0

We use the abbreviated multiplication formula:

(x−7)(x+7)=0 (x-7)(x+7)=0

x=±7 x=\pm7

3

Final Answer

±7

Practice Quiz

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Solve the following equation:


\( 2x^2-8=x^2+4 \)

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