Question

Factor each completely. 10a² - 9a + 2 ​

Answer 1

Answer:

a= $\frac{2}{5}$ or $\frac{1}{2}$

Step-by-step 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= $\frac{2}{5}$   OR a= $\frac{1}{2}$

a=$\frac{2}{5}$ or $\frac{1}{2}$