Question 956473
9x^2+16=0 = 9x^2= -16; √9x^2=√-16; 9x= 4i; x= 4i/9 

Note: keep in mind that any time there is a negative under the radical sign, it comes out from underneath as the imaginary number "i" because the problem will contain a square root of -1, since i= √-1