SOLUTION: x2-24x+144=0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: x2-24x+144=0       Log On


   

Question 635127: x2-24x+144=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2-24x%2B144=0 Start with the given equation.


Notice that the quadratic x%5E2-24x%2B144 is in the form of Ax%5E2%2BBx%2BC where A=1, B=-24, and C=144


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-%28-24%29+%2B-+sqrt%28+%28-24%29%5E2-4%281%29%28144%29+%29%29%2F%282%281%29%29 Plug in A=1, B=-24, and C=144


x+=+%2824+%2B-+sqrt%28+%28-24%29%5E2-4%281%29%28144%29+%29%29%2F%282%281%29%29 Negate -24 to get 24.


x+=+%2824+%2B-+sqrt%28+576-4%281%29%28144%29+%29%29%2F%282%281%29%29 Square -24 to get 576.


x+=+%2824+%2B-+sqrt%28+576-576+%29%29%2F%282%281%29%29 Multiply 4%281%29%28144%29 to get 576


x+=+%2824+%2B-+sqrt%28+0+%29%29%2F%282%281%29%29 Subtract 576 from 576 to get 0


x+=+%2824+%2B-+sqrt%28+0+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


x+=+%2824+%2B-+0%29%2F%282%29 Take the square root of 0 to get 0.


x+=+%2824+%2B+0%29%2F%282%29 or x+=+%2824+-+0%29%2F%282%29 Break up the expression.


x+=+%2824%29%2F%282%29 or x+=++%2824%29%2F%282%29 Combine like terms.


x+=+12 or x+=+12 Simplify.


So the only solution is x+=+12