SOLUTION: 4xsquared + 9x + 7 = 0

Algebra ->  Expressions -> SOLUTION: 4xsquared + 9x + 7 = 0      Log On


   

Question 747262: 4xsquared + 9x + 7 = 0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Use the quadratic formula to solve for x

x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29

x+=+%28-%289%29%2B-sqrt%28%289%29%5E2-4%284%29%287%29%29%29%2F%282%284%29%29 Plug in a+=+4, b+=+9, c+=+7

x+=+%28-9%2B-sqrt%2881-%28112%29%29%29%2F%288%29

x+=+%28-9%2B-sqrt%28-31%29%29%2F8

x+=+%28-9%2Bsqrt%28-31%29%29%2F8 or x+=+%28-9-sqrt%28-31%29%29%2F8

x+=+%28-9%2Bi%2Asqrt%2831%29%29%2F8 or x+=+%28-9-i%2Asqrt%2831%29%29%2F8

So the two solutions are x+=+%28-9%2Bi%2Asqrt%2831%29%29%2F8 or x+=+%28-9-i%2Asqrt%2831%29%29%2F8