# 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.
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or
or
or
Solve for .
Simplify .
Simplify each term.
Raise to the power of .
Multiply by .
Apply the distributive property.
Multiply by .