x(11x-2)=11

Question

whts the answer

 

solve this by useing quadratic function

Answer 1

x(11x-2)=11
whts the answer
solve this by useing quadratic function

      -b ± √(b² - 4*a*c)
x = --------------------
              2a

      -(-2) ± √((-2)² - 4*11*(-11))
x = ----------------------------------
                      2(11)

      2 ± √(4 + 484)
x = ------------------
             22

      2 ± √(488)
x = -------------
           22

      2 ± 22.0907220
x = --------------------
           22

      24.0907220              -20.0907220
x = ---------------         x = -----------------
           22                               22

x = 1.0950328           x = -0.9132146

Those values are rounded, so when used in the
original equation, the answer  will not be exactly 11.

x(11x  - 2) = 11
1.0950328(11(1.0950328) - 2) = 11
1.0950328(12.0453608 - 2) = 11
1.0950328(10.0453608) = 11
10.9999996 = 11              close enough with the rounding error

x(11x  - 2) = 11
-0.9132146(11(-0.9132146)  - 2) = 11
-0.9132146(-10.0453610 - 2) = 11
-0.9132146(-12.0453610) = 11
10.9999999 = 11          again, close enough with the rounding error

We have x = 1.0950328 and x = -0.9132146