Answer:
1.
x = -1 or x = -1.75
2.
x = 1 or x = 1/3
3.
No solution
4.
x = 1
5.
x = -1
6.
x = 1/2
7.
x = -1/2
8.
x = -1.45 or x = 1.25
9.
x = -3 or x = 4
10.
x = 4
11.
x = -2 or x = 7
12.
x = -13 or x = 8
13.
x = -2 or x = 2.25
14.
x = -3.27 or x = 4.27
15.
x = 2 or x = -2
Step-by-step explanation:
To solve a quadratic equation graphically we simply graph the function and note the points where the function intersects with the x-axis (the line y =0).
Consider the quadratic equation in number 11;
[tex]x^{2} -5x-14=0[/tex]
In order to solve the equation graphically we plot the function;
[tex]y=x^{2} -5x-14[/tex]
The x-coordinate(s) of the point(s) where this function intersects with the x-axis will be the solution to the original quadratic equation;
We can use technology to plot the function as shown by the attachment below;
The function [tex]y=x^{2} -5x-14[/tex] crosses the line y = 0 (x-axis) at the points; x = -2 and x = 7.
The solutions to the given quadratic equation are thus;
x = -2 or x = 7
Lastly, if the plotted function does not intersect with the x-axis then the original quadratic equation has no roots or solutions;
This applies to question 3 as seen from the second attachment below;
