The roots of the equation 7x2 = 8 – 10x are...
and.....
Answers
Step-by-step explanation:
7x2 - 10x) - 8 = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 7x2-10x-8
The first term is, 7x2 its coefficient is 7 .
The middle term is, -10x its coefficient is -10 .
The last term, "the constant", is -8
Step-1 : Multiply the coefficient of the first term by the constant 7 • -8 = -56
Step-2 : Find two factors of -56 whose sum equals the coefficient of the middle term, which is -10 .
-56 + 1 = -55
-28 + 2 = -26
-14 + 4 = -10 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 4
7x2 - 14x + 4x - 8
Step-4 : Add up the first 2 terms, pulling out like factors :
7x • (x-2)
Add up the last 2 terms, pulling out common factors :
4 • (x-2)
Step-5 : Add up the four terms of step 4 :
(7x+4) • (x-2)
Which is the desired factorization