40 X square + 94 X - 39 is equal to zero find x y splitting the middle term
Answers
(((40 • (x2)) + 94x) - 39) - 0 = 0
Step 2 :
Equation at the end of step 2 :
(((23•5x2) + 94x) - 39) - 0 = 0
Factoring 40x2+94x-39
The first term is, 40x2 its coefficient is 40 .
The middle term is, +94x its coefficient is 94 .
The last term, "the constant", is -39
Step-1 : Multiply the coefficient of the first term by the constant 40 • -39 = -1560
Step-2 : Find two factors of -1560 whose sum equals the coefficient of the middle term, which is 94 .
-1560 + 1 = -1559
-780 + 2 = -778
-520 + 3 = -517
-390 + 4 = -386
-312 + 5 = -307
-260 + 6 = -254
For tidiness, printing of 26 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 3 :
40x2 + 94x - 39 = 0
Solving 40x2+94x-39 = 0 by Completing The Square .
Divide both sides of the equation by 40 to have 1 as the coefficient of the first term :
x2+(47/20)x-(39/40) = 0