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Example Questions
Example Question #51 : Intermediate Single Variable Algebra
Find the zeros.
Factor the equation to . Set both equal to zero and you get
and
. Remember, the zeros of an equation are wherever the function crosses the
-axis.
Example Question #52 : Intermediate Single Variable Algebra
Find the zeros.
Factor out an from the equation so that you have
. Set
and
equal to
. Your roots are
and
.
Example Question #53 : Intermediate Single Variable Algebra
Find the zeros.
Set equal to zero and you get
. Set
equal to zero as well and you get
and
because when you take a square root, your answer will be positive and negative.
Example Question #1 : Solving Quadratic Equations
Find the zeros.
Factor out a from the entire equation. After that, you get
. Factor the expression to
. Set both of those equal to zero and your answers are
and
.
Example Question #2 : Solving Quadratic Equations
Find the zeros.
This expression is the difference of perfect squares. Therefore, it factors to. Set both of those equal to zero and your answers are
and
.
Example Question #2 : Solving Quadratic Equations
Find the zeros.
Factor the equation to . Set both equal to
and you get
and
.
Example Question #1 : Solving Quadratic Equations
Find the zeros.
Factor a out of the quation to get
which can be further factored to
.
Set the last two expressions equal to zero and you get and
.
Example Question #5 : Solving Quadratic Equations
Find the zeros.
Set each expression equal to zero and you get 0 and 6.
Example Question #1 : Finding Roots
Find the zeros.
Set both expressions equal to . The first factor yields
. The second factor gives you
.
Example Question #2 : Finding Roots
Find the zeros.
Set both expressions to and you get
and
.
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