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

Question

Solve for X:

$x\cdot x=49$

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

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

$x^2-49=0$

$x^2-7^2=0$

We use the abbreviated multiplication formula:

$(x-7)(x+7)=0$

$x=\pm7$

±7