Mathematics: What are the solutions to this equation: 5x^2-8x=0

What are the solutions to this equation: 5x^2-8x=0

perlar0704

08.06.2021

The x value for the point located 2 over 3 the distance from A to B is $\frac{8}{3}$

Step-by-step explanation:

A and B are the endpoints of line segment

A=(x_1,y_1)=(0,0)

B=(x_2,y_2)=(4,3)

We are supposed to find x value for the point located 2 over 3 the distance from A to B

Let C be the point located 2 over 3 the distance from A to B

So, m:n=2:1

So, to find the coordinates of point C we will use section formula :

$x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}\\x=\frac{2(4)+1(0)}{2+1} , y = \frac{2(3)+1(0)}{2+1}\\x=\frac{8}{3} , y = 2$

So, the x value for the point located 2 over 3 the distance from A to B is $\frac{8}{3}$

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