Question

What is the value of a when (a-12)x=a+8

Answer 1

a=13.59,−0.59

Explanation:

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Answer 2

`a=13.59,-0.59`

Explanation:

Assuming the question is:

`(a-12)a=a+8`

We multiply and rearrange the trinomial:

`(a-12)a=a+8\\a^2-12a=a+8\\a^2-13a-8=0`

This is a quadratic equation with:

a = 1

b = -13

c = -8

We use quadratic formula to find 2 values of a:

`a^2-13a-8=0\\a=(-b+-√(b^2 - 4ac) )/(2a)\\a=(13+-√(169 - 4(-8)) )/(2)\\a=(13+-√(201) )/(2)\\a=13.59,-0.59`

These are the 2 values of a:

`a=13.59,-0.59`