Answer: x=(10-sqrt(128))/14=(5-4sqrt(2))/7=-0.094
Step-by-step explanation: (7x2 - 10x) - 1 = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 7x2-10x-1
The first term is, 7x2 its coefficient is 7 .
The middle term is, -10x its coefficient is -10 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 7 • -1 = -7
Step-2 : Find two factors of -7 whose sum equals the coefficient of the middle term, which is -10 .
-7 + 1 = -6
-1 + 7 = 6