Respuesta :

Answer:

[tex]a=13.59,-0.59[/tex]

Step-by-step explanation:

Assuming the question is:

[tex](a-12)a=a+8[/tex]

We multiply and rearrange the trinomial:

[tex](a-12)a=a+8\\a^2-12a=a+8\\a^2-13a-8=0[/tex]

This is a quadratic equation with:

a = 1

b = -13

c = -8

We use quadratic formula to find 2 values of a:

[tex]a^2-13a-8=0\\a=\frac{-b+-\sqrt{b^2 - 4ac} }{2a}\\a=\frac{13+-\sqrt{169 - 4(-8)} }{2}\\a=\frac{13+-\sqrt{201} }{2}\\a=13.59,-0.59[/tex]

These are the 2 values of a:

[tex]a=13.59,-0.59[/tex]

Answer:

a=13.59,−0.59

Step-by-step explanation:

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