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(this is a rhombus btw) for what value of x is the figure the given special parallelogram? HELP PLS, show work.

This Is A Rhombus Btw For What Value Of X Is The Figure The Given Special Parallelogram HELP PLS Show Work class=

Sagot :

Dead3illidn

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]

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