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Solve: sqrt(x + 3) = 7​

Sagot :

x=46

Step-by-step explanation:

(√x+3)2 = (7)2

x+3 = 49

x -46 = 0

Add 46 to both sides

x = 46

A possible solution is :

x = 46

Original equation

√x+3 = 7

Plug in 46 for x

√(46)+3 = 7

Simplify

√49 = 7

Solution checks !!

Solution is:

x = 46

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Given :-

[tex] \tt \sqrt{x + 3} = 7[/tex]

Steps :-

[tex] \looparrowright \sf\sqrt{x + 3} = 7[/tex]

[tex] \\ [/tex]

Squaring both side.

[tex] \looparrowright \sf(\sqrt{x + 3} ) {}^{2} = 7 {}^{2} [/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf{x + 3} = 7 {}^{2} [/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf{x + 3} = 49[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf{x } = 49 - 3[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \bold{x = 46}[/tex]

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