Find all solutions of the equation and express them In the f

Find all solutions of the equation and express them In the form a + bi. (Enter your answers as a comma-separated list.) 9x^2 + 4 - 0 Find all solutions of the equation and express them in the form a + bi. (Enter your answers as a comma-separated list.) x^2 - 18x + 82 = 0

Solution

1) 9x^+4 =0

9x^2 = -4

x^2 = -4/9

x= sqrt(-4/9) = + / - i*2/3 (as sqrt(-1) = i in complex number)

So, x = 0 + 2*i/3 ,0 -2*i/3

2) x^2 - 18x +82=0

solve quadratice using root formula:

x = ( -b +/- sqrt(b^2 -4ac)/2a

= ( 18 +/- sqrt(18^2 - 4*82*2)/4

= ( 18 +/- i*18.22)/4

= 4.5 +/- i*4.55

= 4.5 + i*4.55 , 4.5 - i*4.55