SOLUTION: 5x^2+225=0

Algebra ->  Radicals -> SOLUTION: 5x^2+225=0      Log On


   

Question 557425: 5x^2+225=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5x%5E2%2B225=0 Start with the given equation.


Notice that the quadratic 5x%5E2%2B225 is in the form of Ax%5E2%2BBx%2BC where A=5, B=0, and C=225


Let's use the quadratic formula to solve for "x":


x+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 Start with the quadratic formula


x+=+%28-%280%29+%2B-+sqrt%28+%280%29%5E2-4%285%29%28225%29+%29%29%2F%282%285%29%29 Plug in A=5, B=0, and C=225


x+=+%28-0+%2B-+sqrt%28+0-4%285%29%28225%29+%29%29%2F%282%285%29%29 Square 0 to get 0.


x+=+%28-0+%2B-+sqrt%28+0-4500+%29%29%2F%282%285%29%29 Multiply 4%285%29%28225%29 to get 4500


x+=+%28-0+%2B-+sqrt%28+-4500+%29%29%2F%282%285%29%29 Subtract 4500 from 0 to get -4500


x+=+%28-0+%2B-+sqrt%28+-4500+%29%29%2F%2810%29 Multiply 2 and 5 to get 10.


x+=+%28-0+%2B-+30i%2Asqrt%285%29%29%2F%2810%29 Simplify the square root (note: If you need help with simplifying square roots, check out this solver)


x+=+%28-0%29%2F%2810%29+%2B-+%2830i%2Asqrt%285%29%29%2F%2810%29 Break up the fraction.


x+=+0+%2B-+3%2Asqrt%285%29%2Ai Reduce.


x+=+3%2Asqrt%285%29%2Ai or x+=+-3%2Asqrt%285%29%2Ai Break up the expression.


So the solutions are x+=+3%2Asqrt%285%29%2Ai or x+=+-3%2Asqrt%285%29%2Ai

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim