Take the square root of each side of the equation to set up the solution for <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math>

Remove the perfect root factor <math><mstyle displaystyle="true"><mn>6</mn><mi>x</mi><mo>-</mo><mn>1</mn></mstyle></math> under the radical to solve for <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mo>-</mo><mn>49</mn></mstyle></math> as <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn><mrow><mo>(</mo><mn>49</mn><mo>)</mo></mrow></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><msqrt><mo>-</mo><mn>1</mn><mrow><mo>(</mo><mn>49</mn><mo>)</mo></mrow></msqrt></mstyle></math> as <math><mstyle displaystyle="true"><msqrt><mo>-</mo><mn>1</mn></msqrt><mo>⋅</mo><msqrt><mn>49</mn></msqrt></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><msqrt><mo>-</mo><mn>1</mn></msqrt></mstyle></math> as <math><mstyle displaystyle="true"><mi>i</mi></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mn>49</mn></mstyle></math> as <math><mstyle displaystyle="true"><msup><mrow><mn>7</mn></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> .

Pull terms out from under the radical, assuming positive real numbers.

Move <math><mstyle displaystyle="true"><mn>7</mn></mstyle></math> to the left of <math><mstyle displaystyle="true"><mi>i</mi></mstyle></math> .

First, use the positive value of the <math><mstyle displaystyle="true"><mo>±</mo></mstyle></math> to find the first solution.

Move all terms not containing <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> to the right side of the equation.

Add <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> to both sides of the equation.

Reorder <math><mstyle displaystyle="true"><mn>7</mn><mi>i</mi></mstyle></math> and <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Divide each term by <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> and simplify.

Divide each term in <math><mstyle displaystyle="true"><mn>6</mn><mi>x</mi><mo>=</mo><mn>1</mn><mo>+</mo><mn>7</mn><mi>i</mi></mstyle></math> by <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> .

Cancel the common factor of <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> .

Cancel the common factor.

Divide <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Next, use the negative value of the <math><mstyle displaystyle="true"><mo>±</mo></mstyle></math> to find the second solution.

Move all terms not containing <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> to the right side of the equation.

Add <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> to both sides of the equation.

Reorder <math><mstyle displaystyle="true"><mo>-</mo><mn>7</mn><mi>i</mi></mstyle></math> and <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Divide each term by <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> and simplify.

Divide each term in <math><mstyle displaystyle="true"><mn>6</mn><mi>x</mi><mo>=</mo><mn>1</mn><mo>-</mo><mn>7</mn><mi>i</mi></mstyle></math> by <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> .

Cancel the common factor of <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> .

Cancel the common factor.

Divide <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Move the negative in front of the fraction.

The complete solution is the result of both the positive and negative portions of the solution.

Do you know how to Solve Using the Square Root Property (6x-1)^2=-49? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name | five hundred million two hundred sixty-seven thousand nine hundred ninety-four |
---|

- 500267994 has 16 divisors, whose sum is
**1010851968** - The reverse of 500267994 is
**499762005** - Previous prime number is
**97**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 42
- Digital Root 6

Name | six hundred forty-eight million four hundred thirty-four thousand two |
---|

- 648434002 has 16 divisors, whose sum is
**982420992** - The reverse of 648434002 is
**200434846** - Previous prime number is
**113**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 31
- Digital Root 4

Name | one billion four hundred forty-six million eight hundred eighty-two thousand two hundred eighty-six |
---|

- 1446882286 has 16 divisors, whose sum is
**2204296704** - The reverse of 1446882286 is
**6822886441** - Previous prime number is
**1823**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 49
- Digital Root 4