# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$x-\sqrt{25-x^2}=1$

Learn how to solve equations with square roots problems step by step online.

$-\sqrt{25-x^2}=1-x$

Learn how to solve equations with square roots problems step by step online. Solve the equation with radicals x-(25-x^2)^0.5=1. We need to isolate the dependent variable x, we can do that by subtracting x from both sides of the equation. Multiplying both sides of the equation by -1. Removing the variable's exponent. Expand \left(-1+x\right)^{2}.

$x=4,\:x=-3$

### Problem Analysis

$x-\sqrt{25-x^2}=1$

### Main topic:

Equations with square roots

~ 0.07 seconds