Identification - HiSet: High School Equivalency Test: Math
Card 0 of 2
The equation
has two distinct solutions. What is their sum?
The equation
has two distinct solutions. What is their sum?
It is not necessary to actually find the solutions to a quadratic equation to determine the sum of its solutions.
First, get the equation in standard form 
by subtracting 
from both sides:
If a quadratic equation has two distinct solutions, which we are given here, their sum is the linear coefficient 
. In this problem, 
, making 
the correct choice.
It is not necessary to actually find the solutions to a quadratic equation to determine the sum of its solutions.
First, get the equation in standard form
If a quadratic equation has two distinct solutions, which we are given here, their sum is the linear coefficient
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The graph of the polynomial function
has one and only one zero on the interval 
. On which subinterval is it located?
The graph of the polynomial function
has one and only one zero on the interval 
The Intermediate Value Theorem (IVT) states that if the graph of a function 
is continuous on an interval 
, and 
and 
differ in sign, then 
has a zero on 
. Consequently, the way to answer this question is to determine the signs of 
on the endpoints of the subintervals - 
. We can do this by substituting each value for 
as follows:
assumes positive values for 
and negative values for 
. By the IVT, 
has a zero on 
.
The Intermediate Value Theorem (IVT) states that if the graph of a function 
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