44x2-x-3
explanition
Answers
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
((22•11x2) - x) - 3 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 44x2-x-3
The first term is, 44x2 its coefficient is 44 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 44 • -3 = -132
Step-2 : Find two factors of -132 whose sum equals the coefficient of the middle term, which is -1 .
-132 + 1 = -131
-66 + 2 = -64
-44 + 3 = -41
-33 + 4 = -29
-22 + 6 = -16
-12 + 11 = -1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 11
44x2 - 12x + 11x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (11x-3)
Add up the last 2 terms, pulling out common factors :
1 • (11x-3)
Step-5 : Add up the four terms of step 4 :
(4x+1) • (11x-3)
Which is the desired factorization..
hope this helps u .
Step-by-step explanation:
=44x^2 - x-3
apply this in formula -b +- √b^2 -4ac/2a
=a=44 , b =-1 , c=-3
= -(-1) +- √1^2-4*44*-3/2*44
=1+-√529/88
=1+- 23/88
= x=24/88=3/11 or x=22/88=1/4