Q:

x^2 +105x-1050=1550please help

Accepted Solution

A:

-x^2+105x-1050=1550
We move all terms to the left:
-x^2+105x-1050-(1550)=0
We add all the numbers together, and all the variables
-1x^2+105x-2600=0
a = -1; b = 105; c = -2600;
Ξ” = b2-4ac
Ξ” = 1052-4Β·(-1)Β·(-2600)
Ξ” = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
x1=βˆ’bβˆ’Ξ”βˆš2ax2=βˆ’b+Ξ”βˆš2a
Ξ”βˆ’βˆ’βˆš=625βˆ’βˆ’βˆ’βˆš=25 x1=βˆ’bβˆ’Ξ”βˆš2a=βˆ’(105)βˆ’252βˆ—βˆ’1=βˆ’130βˆ’2=+65 x2=βˆ’b+Ξ”βˆš2a=βˆ’(105)+252βˆ—βˆ’1=βˆ’80βˆ’2=+40