# Solve Using the Square Root Property (6x-1)^2=-49

Solve Using the Square Root Property (6x-1)^2=-49
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 .
Rewrite as .
Rewrite as .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Move to the left of .
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Reorder and .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Next, use the negative value of the to find the second solution.
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Reorder and .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
The complete solution is the result of both the positive and negative portions of the solution.
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### Name

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

### Interesting facts

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

### Basic properties

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

### Name

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

### Interesting facts

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

### Basic properties

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

### Name

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

### Interesting facts

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

### Basic properties

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