x square + 4x - 1517 find solution
Answers
Answer:
Factoring x2+4x-1517
The first term is, x2 its coefficient is 1 .
The middle term is, +4x its coefficient is 4 .
The last term, "the constant", is -1517
Step-1 : Multiply the coefficient of the first term by the constant 1 • -1517 = -1517
Step-2 : Find two factors of -1517 whose sum equals the coefficient of the middle term, which is 4 .
-1517 + 1 = -1516
-41 + 37 = -4
-37 + 41 = 4 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -37 and 41
x2 - 37x + 41x - 1517
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-37)
Add up the last 2 terms, pulling out common factors :
41 • (x-37)
Step-5 : Add up the four terms of step 4 :
(x+41) • (x-37)
Which is the desired factorization
Equation at the end of step
1
:
(x + 41) • (x - 37) = 0
Answer:
x2 +4x-1517
x2 - 37x + 41x - 1517
x+41) • (x-37)
x = -41
x= 37
ans