Answer:
x = 2 or 3
Step-by-step explanation:
Diagonal of a rhombus bisects the vertex angles. So,
[tex]x^{2} =5x-6[/tex]
[tex]=> x^{2} -5x + 6 = 0[/tex]
Lets factorise the eqn.
[tex]=> x^{2} - 2x - 3x + 6 = 0[/tex]
[tex]=> x (x - 2) -3(x-2)[/tex]
[tex]=> (x-2)(x-3) = 0[/tex]
Here x will have 2 values.
1) [tex]x-2=0[/tex]
[tex]=> x =2[/tex]
2) [tex]x - 3 = 0[/tex]
[tex]=> x = 3[/tex]
