Algebra II : Understanding Quadratic Equations
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Example Questions
Example Question #21 : How To Find The Solution To An Equation
Solve for 
None of the other answers
To solve this equation, you must first eliminate the exponent from the 
Since the square root of 36 could be either 
and
to get solutions of 
Example Question #10 : Quadratic Roots
Find the roots of 
When we factor, we are looking for two number that multiply to the constant, 
Thus, we have the factors:
To solve for the solutions, set each of these factors equal to zero.
Thus, we get 
Our second solution is, 
Example Question #11 : Quadratic Roots
Write a quadratic function in standard form with roots of -1 and 2.
From the zeroes we know
Use FOIL method to obtain:
Example Question #152 : Understanding Quadratic Equations
Select the quadratic equation that has these roots:
None of these.
FOIL the two factors to find the quadratic equation.
First terms:
Outer terms:
Inner terms:
Last terms:
Simplify:
Example Question #153 : Understanding Quadratic Equations
Solve for a possible root:
Write the quadratic equation.
The equation 
Substitute the proper coefficients into the quadratic equation.
The negative square root can be replaced by the imaginary term 
Simplify the fraction.
A possible root is:
Example Question #154 : Understanding Quadratic Equations
Solve for the roots (if any) of
Pull out a common factor of negative four.
The term inside the parentheses can be factored.
Set the binomials equal to zero and solve for the roots. We can ignore the negative four coefficient.
The answers are:
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