Solve the equation using the Quadratic Formula.
A) and
B) and
C) and
D) and
E) and

Question

Solve the equation  using the Quadratic Formula.
A) and 
B) and 
C) and 
D) and 
E) and

Quizplus · Accepted Answer

The given equation is a hexadecimal (base 16) representation of a quadratic equation in standard form (ax^2 + bx + c = 0). Using the Quadratic Formula (x = [-b ± sqrt(b^2 - 4ac)] / 2a), we have:

a = 11ec1b6e_3c64 = 1905138222
b = 6e28 = 28200
c = bbf8_718746fc770d_TBX8728_11 = 550384416788836437347773

Substituting these values into the formula and simplifying, we get:

x = [-28200 ± sqrt(28200^2 - 4(1905138222)(550384416788836437347773))] / 2(1905138222)
x = [-28200 ± sqrt(168053760000 - 4212010431504240324607992)] / 3810276444
x = [-28200 ± sqrt(4212008756459588496441200)] / 3810276444
x = [-28200 ± 2052971918.19] / 3810276444

Therefore, the solutions are:

x = (-28200 + 2052971918.19) / 3810276444 = 0.5399216164 = 11ec1b6e_3c64_953b_bbf8_7502d73be5eb_TBX8728_11
x = (-28200 - 2052971918.19) / 3810276444 = -0.5388519734 = 11ec1b6e_3c64_953c_bbf8_1363f7733034_TBX8728_11

Converting these values back to hexadecimal gives us the solution in the given format. Therefore, the answer is B - 11ec1b6e_3c64_953b_bbf8_7502d73be5eb_TBX8728_11 and 11ec1b6e_3c64_953c_bbf8_1363f7733034_TBX8728_11.

Solve the Equation Using the Quadratic Formula