Question

What are the possible values of x in -11x^2 + 2x = 10?

Answer 1

-11x² + 2x = 10
-11x² + 2x - 10 = 10 - 10
-11x² + 2x - 10 = 0
x = -(2) +/- √((2)² - 4(-11)(-10))
2(-11)
x = -2 +/- √(4 - 440)
-22
x = -2 +/- √(-436)
-22
x = -2 +/- 2i√(109)
-22
x = -2 + 2i√(109) x = -2 - 2i√(109)
-22 -22
x = ¹/₁₁ - ¹/₁₁i√(109) x = ¹/₁₁ + ¹/₁₁i√(109)