Question

Factor each completely.

10a² - 9a + 2

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Answer 1

a=
`(2)/(5)` or
`(1)/(2)`

Explanation:

Equate the equation to zero

`10a^(2)`-9a+2=0

`10a^(2)`-5a-4a+2=0

5a(2a-1)-2(2a-1)=0

Write out the factors

(5a-2)(2a-1)=0

Then equate each factor to zero

5a-2=0 OR 2a-1=0

5a=2 OR 2a=1

a=
`(2)/(5)` OR a=
`(1)/(2)`

a=
`(2)/(5)` or
`(1)/(2)`