Question

solve for y
4y^2-9y+2=0

Answer 1

y = -2
y = -1/4

Answer 2

1.2 Factoring 4y2 + 9y + 2

The first term is, 4y2 its coefficient is 4 .
The middle term is, +9y its coefficient is 9 .
The last term, "the constant", is +2

Step-1 : Multiply the coefficient of the first term by the constant 4 • 2 = 8

Step-2 : Find two factors of 8 whose sum equals the coefficient of the middle term, which is 9 .

-8 + -1 = -9
-4 + -2 = -6
-2 + -4 = -6
-1 + -8 = -9
1 + 8 = 9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 8
4y2 + 1y + 8y + 2

Step-4 : Add up the first 2 terms, pulling out like factors :
y • (4y+1)
Add up the last 2 terms, pulling out common factors :
2 • (4y+1)
Step-5 : Add up the four terms of step 4 :
(y+2) • (4y+1)
Which is the desired factorization

Answer 3

find y in both the cases.. which are the solutions...