# Solve the System of Inequalities D>0 , b^2-4ac>0 , (-2)^2-4*(1(a-3))>0

Solve the System of Inequalities D>0 , b^2-4ac>0 , (-2)^2-4*(1(a-3))>0
, ,
Solve for .
Add to both sides of the inequality.
Take the square root of both sides of the inequality to eliminate the exponent on the left side.
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite as .
Rewrite as .
Pull terms out from under the radical.
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.
Next, use the negative value of the to find the second solution. Since this is an inequality, flip the direction of the inequality sign on the portion of the solution.
The complete solution is the result of both the positive and negative portions of the solution.
or
or
or
or
Solve for .
Simplify .
Simplify each term.
Raise to the power of .
Multiply by .
Apply the distributive property.
Multiply by .
Subtract from both sides of the inequality.
Divide each term by and simplify.
Divide each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
Find the intersection of and .
and
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### Name

Name one billion eight hundred ten million six hundred thirty-six thousand six hundred fifty-nine

### Interesting facts

• 1810636659 has 16 divisors, whose sum is 2177069440
• The reverse of 1810636659 is 9566360181
• Previous prime number is 207

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 45
• Digital Root 9

### Name

Name four hundred ninety-six million three hundred three thousand one hundred eighty-five

### Interesting facts

• 496303185 has 32 divisors, whose sum is 960913152
• The reverse of 496303185 is 581303694
• Previous prime number is 17

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 39
• Digital Root 3

### Name

Name two billion forty-two million nine hundred nine thousand nine hundred seventy-three

### Interesting facts

• 2042909973 has 8 divisors, whose sum is 2444507800
• The reverse of 2042909973 is 3799092402
• Previous prime number is 13

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 45
• Digital Root 9