Answer:
3 units
Step-by-step explanation:
By intersecting chords theorem:
[tex] AE \times EB = CE \times ED[/tex]
[tex] \therefore 3 \times 4= x \times (x+1)[/tex]
[tex] \therefore 12= x^2 +x[/tex]
[tex] \therefore x^2 +x-12=0[/tex]
[tex] \therefore x^2 +4x-3x-12=0[/tex]
[tex] \therefore x(x +4)-3(x+4)=0[/tex]
[tex] \therefore (x +4)(x-3)=0[/tex]
[tex] \therefore (x +4)=0, \: (x-3)=0[/tex]
[tex] \therefore x=-4, \: x=3[/tex]
Since, the value of x can not be negative.
[tex] \therefore x\neq - 4[/tex]
[tex] \implies x = 3[/tex]
[tex] \implies CE = 3[/tex]
