SOLUTION: 2m^2 + 6m + 2 = 0 Solve. Round results to the nearest thousandth. 8x^2 = 4 - 9x Solve the formula for a. h=a/2 square root of 3. Solve for x. Solve S = x^2+y^2

Algebra ->  Radicals -> SOLUTION: 2m^2 + 6m + 2 = 0 Solve. Round results to the nearest thousandth. 8x^2 = 4 - 9x Solve the formula for a. h=a/2 square root of 3. Solve for x. Solve S = x^2+y^2      Log On


   

Question 682033: 2m^2 + 6m + 2 = 0
Solve. Round results to the nearest thousandth.
8x^2 = 4 - 9x

Solve the formula for a.
h=a/2 square root of 3.
Solve for x.
Solve S = x^2+y^2- 8x + 10y - 4


Find the x-intercepts.
y = x^2 - 6



Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started (Please only post one problem at a time. Thanks)

Use the quadratic formula to solve for m

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

m+=+%28-%286%29%2B-sqrt%28%286%29%5E2-4%282%29%282%29%29%29%2F%282%282%29%29 Plug in a+=+2, b+=+6, c+=+2

m+=+%28-6%2B-sqrt%2836-%2816%29%29%29%2F%284%29

m+=+%28-6%2B-sqrt%2820%29%29%2F4

m+=+%28-6%2Bsqrt%2820%29%29%2F4 or m+=+%28-6-sqrt%2820%29%29%2F4

m+=+%28-6%2B2%2Asqrt%285%29%29%2F4 or m+=+%28-6-2%2Asqrt%285%29%29%2F4

m+=+%28-3%2Bsqrt%285%29%29%2F2 or m+=+%28-3-sqrt%285%29%29%2F2

m+=+-0.381966 or m+=+-2.618034

m+=+-0.382 or m+=+-2.618

So the approximate solutions to 2m%5E2+%2B+6m+%2B+2+=+0 are m+=+-0.382 or m+=+-2.618