SOLUTION: 16x^2-24x+7=0

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Question 775259: 16x^2-24x+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-%28-24%29%2B-sqrt%28%28-24%29%5E2-4%2816%29%287%29%29%29%2F%282%2816%29%29 Plug in a+=+16, b+=+-24, c+=+7

x+=+%2824%2B-sqrt%28576-%28448%29%29%29%2F%2832%29

x+=+%2824%2B-sqrt%28128%29%29%2F32

x+=+%2824%2Bsqrt%28128%29%29%2F32 or x+=+%2824-sqrt%28128%29%29%2F32

x+=+%2824%2B8%2Asqrt%282%29%29%2F32 or x+=+%2824-8%2Asqrt%282%29%29%2F32

x+=+%283%2Bsqrt%282%29%29%2F4 or x+=+%283-sqrt%282%29%29%2F4


The exact solutions are x+=+%283%2Bsqrt%282%29%29%2F4 or x+=+%283-sqrt%282%29%29%2F4