Given the equation y2 - ay – 6=0 , where a is
a constant, find the expressions for y in terms of a.
Answers
Answer:
The first term is, y2 its coefficient is 1 .
The middle term is, -y its coefficient is -1 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 1 • -6 = -6
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -1 .
-6 + 1 = -5
-3 + 2 = -1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 2
y2 - 3y + 2y - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
y • (y-3)
Add up the last 2 terms, pulling out common factors :
2 • (y-3)
Step-5 : Add up the four terms of step 4 :
(y+2) • (y-3)
Which is the desired factorization
Answer:
Step-by-step explanation:
