# Solve by Completing the Square x^2+22x=31

Solve by Completing the Square x^2+22x=31
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of .
Add the term to each side of the equation.
Simplify the equation.
Raise to the power of .
Simplify .
Raise to the power of .
Factor the perfect trinomial square into .
Solve the equation for .
Take the square root of each side of the equation to set up the solution for
Remove the perfect root factor under the radical to solve for .
Simplify the right side of the equation.
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Remove parentheses.
Subtract from both sides of the equation.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
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### Name

Name one billion seven hundred eighty-five million eight hundred sixty-six thousand one hundred eleven

### Interesting facts

• 1785866111 has 4 divisors, whose sum is 1819561752
• The reverse of 1785866111 is 1116685871
• Previous prime number is 53

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 44
• Digital Root 8

### Name

Name one billion four hundred seventy-eight million three hundred twenty-seven thousand fifty-five

### Interesting facts

• 1478327055 has 16 divisors, whose sum is 1727222400
• The reverse of 1478327055 is 5507238741
• Previous prime number is 29

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 42
• Digital Root 6

### Name

Name one billion eleven million eight hundred forty-six thousand three hundred thirty-eight

### Interesting facts

• 1011846338 has 16 divisors, whose sum is 1531367424
• The reverse of 1011846338 is 8336481101
• Previous prime number is 127

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 35
• Digital Root 8