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

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00:05 Let's find the value of X.
00:08 When a number is multiplied by itself, it's called squared.
00:13 Now, let's find the square root of the number.
00:17 Remember, every square root has two answers: one positive and one negative.
00:22 And that's how we solve this problem!

Step-by-step written solution

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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 for X:

\( x\cdot x=49 \)

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