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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