Question

Find all complex solutions of 11x^2-5x+2=0. If there is more than one solution separate them with commas.

Answer 1

No real solutions.

Explanation:

Let's solve your equation step-by-step.

11x2−5x+2=0

For this equation: a=11, b=-5, c=2

11x2+−5x+2=0

Step 1: Use quadratic formula with a=11, b=-5, c=2.

x=

−b±√b2−4ac

2a

x=

−(−5)±√(−5)2−4(11)(2)

2(11)

x=

5±√−63

22

Answer 2

see explanation

Explanation:

11x² - 5x + 2 = 0 ← in standard form with

a = 11, b = - 5 , c = 2

Solve using the quadratic formula

x =
`(-b+/-√(b^2-4ac) )/(2a)`

=
`(5+/-√(((-5)^2-(4(11)(2)) )/(2(11))`

=
`(5+/-√(25-88) )/(22)`

=
`(5+/-√(-63) )/(22)`

=
`(5+/-√(9(-1)(7)) )/(22)`

=
`(5+/-3i√(7) )/(22)`

Then

x =
`(5)/(22)` -
`(3)/(22)` i
`√(7)` ,
`(5)/(22)` +
`(3)/(22)` i
`√(7)`