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