The product of two secants drawn from a point outside the circle has a constant product for both of them
Distance from outside point to the circle * full length of the secant to the other side of the circle is a constant for any two or more secants from the same point.
In this case
5 * (5 + x) is the same as 6 * (4 + 6) combine on the right.
5 * (5 + x) = 6 * 10 Remove brackets on the left and multiply on the right.
25 + 5x = 60
5x = 60 - 25
5x = 35
x = 35/5
x = 7 <<<<< Answer
Problem two
I'm going to give you the solution but you have to fill in what I've done.
3 * (3 + 5) = 4 * (x + 4)
3 * 8 = 4x + 16
24 = 4x + 16
24 - 16 = 4x
8 = 4x
x = 2 <<<<< Answer
