Add <math><mstyle displaystyle="true"><mn>4</mn></mstyle></math> to both sides of the equation.

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of <math><mstyle displaystyle="true"><mi>b</mi></mstyle></math> .

Add the term to each side of the equation.

Raise <math><mstyle displaystyle="true"><mo>-</mo><mn>5</mn></mstyle></math> to the power of <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

Simplify <math><mstyle displaystyle="true"><mn>4</mn><mo>+</mo><msup><mrow><mo>(</mo><mo>-</mo><mn>5</mn><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> .

Raise <math><mstyle displaystyle="true"><mo>-</mo><mn>5</mn></mstyle></math> to the power of <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

Add <math><mstyle displaystyle="true"><mn>4</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>25</mn></mstyle></math> .

Factor the perfect trinomial square into <math><mstyle displaystyle="true"><msup><mrow><mo>(</mo><mi>x</mi><mo>-</mo><mn>5</mn><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> .

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"><mi>x</mi><mo>-</mo><mn>5</mn></mstyle></math> under the radical to solve for <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> .

Remove parentheses.

Add <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> to both sides of the equation.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Do you know how to Solve by Completing the Square x^2-10x-4=0? 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 | eight hundred forty-seven million two hundred ninety-five thousand nine hundred sixteen |
---|

- 847295916 has 16 divisors, whose sum is
**2541887784** - The reverse of 847295916 is
**619592748** - Previous prime number is
**3**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 51
- Digital Root 6

Name | one hundred seventeen million three hundred sixty thousand seventy-nine |
---|

- 117360079 has 4 divisors, whose sum is
**121145920** - The reverse of 117360079 is
**970063711** - Previous prime number is
**31**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 34
- Digital Root 7

Name | six hundred twenty-nine million eight hundred thirty-eight thousand five hundred twenty |
---|

- 629838520 has 64 divisors, whose sum is
**2566521936** - The reverse of 629838520 is
**025838926** - Previous prime number is
**163**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 43
- Digital Root 7