whats the answer for 60x-12=14x^2+14

Question

Solving for " x " Using the triangle-angle-bisector theorem

Answer 1

This can be written:

14x²-60x+26=0,

7x²-30x+13=0, which has no rational factors.

7x²-30x=-13,

7(x²-30x/7)=-13,

7(x²-30x/7+(15/7)²-(15/7)²)=-13,

7(x-15/7)²-225/7=-13,

7(x-15/7)²=225/7-13=(225-91)/7=134/7,

(x-15/7)²=134/49,

x-15/7=√134/7 or -√134/7,

x=(15±√134)/7=3.7965 or 0.4892 approx.

Doesn't seem to be associated with the triangle angle bisector theorem.