Solve sqrt(10w - 1) + 10 = 13 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\sqrt{10w-1}+10=13$$

Solve for w

$w=1$

Steps for Solving Radical Equations

Subtract $10$ from both sides of the equation.

$$\sqrt{10w-1}+10-10=13-10$$

Subtracting $10$ from itself leaves $0$.

$$\sqrt{10w-1}=13-10$$

Subtract $10$ from $13$.

$$\sqrt{10w-1}=3$$

Square both sides of the equation.

$$10w-1=9$$

Add $1$ to both sides of the equation.

$$10w-1-\left(-1\right)=9-\left(-1\right)$$

Subtracting $-1$ from itself leaves $0$.

$$10w=9-\left(-1\right)$$

Subtract $-1$ from $9$.

$$10w=10$$

Divide both sides by $10$.

$$\frac{10w}{10}=\frac{10}{10}$$

Dividing by $10$ undoes the multiplication by $10$.

$$w=\frac{10}{10}$$

Divide $10$ by $10$.

$$w=1$$