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23 Mar 2020
Relationship Between Solutions and Coefficients The Quadratic Formula gives us the solutions of a quadratic equation from its coefficients. We can also obtain the coefficients from the solutions.
Use the Quadratic Formula to prove that in general, if the equation 
has solutions 
and 
, then 
and 
Relationship Between Solutions and Coefficients The Quadratic Formula gives us the solutions of a quadratic equation from its coefficients. We can also obtain the coefficients from the solutions.
Use the Quadratic Formula to prove that in general, if the equation has solutions and , then and
=0 is of quadric type. We can solve it by letting 
and 
, and factoring. Or we could solve for 
, square each side, and then solve the resulting quadric equation. Solve the following equations using both methods indicated, and show that you get the same final answers.
quadratic type; solve for the radical, and square.
quadratic type; multiply by LCD
(in dollars) generated by producing 
microwave ovens per week is given by the formula 
provide that 
How many ovens must be manufactured in a given week to generate a profit of $1250?
and solving for 
, 
and 
, we have:
Since he must have 0
so 
is discarded.