Taylor Swift solved the equation below. Her work is shown under the problem. Solve:
7(x - 4) – 3x + 2 = 3x - 2 - x
Student Work:
7(x-4)- 3x +2 = 3x - 2-X
7x - 28 - 3x +2 = 4x-2
4x-26 = 4x-2
+26 +26
4x = 4x + 24
-4x - 4x
0= 24
X = no real solutions
Did Taylor make any errors? Ifso, what was it?
A) Yes, she did not distribute correctly.
B) Yes, she did not combine like terms correctly on the right side of the equation.
C) Yes, she did not combine like terms correctly on the left side.
D) Yes, she made an error in the last step. 4x minus 4x is not 0, it is x.
E) Nothing is incorrect about this problem.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12