Finite Math Examples

$\sqrt{- 14 + 9 a} = a$

Step 1

Subtract $a$ from both sides of the equation.

$\sqrt{- 14 + 9 a} - a = 0$

Step 2

Set the radicand in $\sqrt{- 14 + 9 a}$ less than $0$ to find where the expression is undefined.

$- 14 + 9 a < 0$

Step 3

Solve for $a$ .

Tap for more steps...

Step 3.1

Add $14$ to both sides of the inequality.

$9 a < 14$

Step 3.2

Divide each term in $9 a < 14$ by $9$ and simplify.

Tap for more steps...

Step 3.2.1

Divide each term in $9 a < 14$ by $9$ .

$\frac{9 a}{9} < \frac{14}{9}$

Step 3.2.2

Simplify the left side.

Tap for more steps...

Step 3.2.2.1

Cancel the common factor of $9$ .

Tap for more steps...

Step 3.2.2.1.1

Cancel the common factor.

$\frac{9 a}{9} < \frac{14}{9}$

Step 3.2.2.1.2

Divide $a$ by $1$ .

$a < \frac{14}{9}$

Step 4

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

$a < \frac{14}{9}$

$(- \infty, \frac{14}{9})$

Step 5