How do you simplify $\sqrt{x + 1} = 5$ $sqrt(x+1)=5$ ?

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Answer 1 · 2018-03-22T04:37:08

$x = 24$ $x=24$

I'm assuming you mean solve, so here's what you do:

Square both sides to get

$x + 1 = 25$ $x+1=25$

Subtract $1$ $1$ from both sides to get

$x = 24$ $x=24$

Answer 2 · 2018-03-22T04:38:05

$x = 24$ $x=24$

To solve this equation for $x$ $x$ , we need to first get rid of the $\sqrt{}$ $sqrt$ .

To do this, we need only square the entirety of the $\sqrt{}$ $sqrt$ . Remember, however, that what we do on one side, we must do on the other.

So it should now look like:

$\sqrt{x + 1} = 5$ $sqrt(x+1)=5$

$\Rightarrow {(\sqrt{x + 1})}^{2} = 5^{2}$ $=> (sqrt(x+1))^2=5^2$

$\Rightarrow x + 1 = 25$ $=> x+1=25$

Now we just solve for $x$ $x$ as we would normally:

$x + 1 = 25$ $x+1=25$

$\Rightarrow x + 1 - 1 = 25 - 1$ $=> x+1-1=25-1$

$\Rightarrow x = 24$ $=> x=24$

How do you simplify √x+1=5sqrt(x+1)=5?