The roots of an equation are simply the x-intercepts of the equation.
See below for the proof that 
has at least two real roots
The equation is given as:
There are several ways to show that an equation has real roots, one of these ways is by using graphs.
See attachment for the graph of
Next, we count the x-intercepts of the graph (i.e. the points where the equation crosses the x-axis)
From the attached graph, we can see that crosses the x-axis at approximately <em>-2000 and 2000 </em>between the domain -2500 and 2500
This means that has at least two real roots
Read more about roots of an equation at:
brainly.com/question/12912962
<span>step 1 :</span> 3 • (x - 9) - 30 = 0
<span>Step 2 :</span><span>Step 3 :</span>Pulling out like terms :
<span> 3.1 </span> Pull out like factors :
3x - 57 = 3 • (x - 19)
<span>Equation at the end of step 3 :</span> 3 • (x - 19) = 0
<span>Step 4 :</span>Equations which are never true :
<span> 4.1 </span> Solve : 3 = 0
<span>This equation has no solution.
</span>A a non-zero constant never equals zero.
Solving a Single Variable Equation :
<span> 4.2 </span> Solve : x-19 = 0<span>
</span>Add 19 to both sides of the equation :<span>
</span> x = 19
One solution was found : <span> x = 19</span>
The correct answer is D.
A function cannot have an x-value that corresponds to more than one y-value.
In this table, the x-value '8' corresponds to two separate y-values; 8 and 5, making it invalid as a function.
