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[tex]x2 = 49[/tex]what's the answer

Sagot :

Solve the equation:

[tex]x^2=49[/tex]

The simplest method to solve the equation is to apply the square root on both sides of the equation:

[tex]\sqrt{x^2}=\sqrt{49}[/tex]

Since the square and the square root are inverse functions, they cancel out, leaving us with the equation:

[tex]x=\sqrt{49}[/tex]

We must find a number such that its square results in 49. That number is 7. But we must recall that there is another number that produces 49 when squared. That number is -7.

This gives us two solutions. It can be written:

[tex]x=\pm7[/tex]

The equation has two solutions:

x = 7, x = -7

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