What are the solutions of 2x2 + 16x + 50 = 0? by completing the square

This equation has no intersections with the X-axis.

2x^2+16x+50=0 divide by 2

x^2+8x+25=0 subtract 9 from both sides

x^2+8x+16=-9 complete the square

(x+4) ^2=-9 square root both sides

x+4 = 3i you get an imaginary number, thus there are no real numbers that will fulfill the above equation. Graphing calculator will show you the same result.

2x^2 + 16x + 50 = 0

divide through by 2:-

x^2 + 8x + 25 = 0

(x + 4) ^2 - 16 + 25 = 0

(x + 4) ^2 = - 9

x+4 = 3i or - 3i

x = - 4 + 3i, - 4 - 3i