SOLUTION: x^2-6x+5=0

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Question 526292: x^2-6x+5=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2-6x%2B5=0 Start with the given equation.


Notice that the quadratic x%5E2-6x%2B5 is in the form of Ax%5E2%2BBx%2BC where A=1, B=-6, and C=5


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-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%281%29%285%29+%29%29%2F%282%281%29%29 Plug in A=1, B=-6, and C=5


x+=+%286+%2B-+sqrt%28+%28-6%29%5E2-4%281%29%285%29+%29%29%2F%282%281%29%29 Negate -6 to get 6.


x+=+%286+%2B-+sqrt%28+36-4%281%29%285%29+%29%29%2F%282%281%29%29 Square -6 to get 36.


x+=+%286+%2B-+sqrt%28+36-20+%29%29%2F%282%281%29%29 Multiply 4%281%29%285%29 to get 20


x+=+%286+%2B-+sqrt%28+16+%29%29%2F%282%281%29%29 Subtract 20 from 36 to get 16


x+=+%286+%2B-+sqrt%28+16+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


x+=+%286+%2B-+4%29%2F%282%29 Take the square root of 16 to get 4.


x+=+%286+%2B+4%29%2F%282%29 or x+=+%286+-+4%29%2F%282%29 Break up the expression.


x+=+%2810%29%2F%282%29 or x+=++%282%29%2F%282%29 Combine like terms.


x+=+5 or x+=+1 Simplify.


So the solutions are x+=+5 or x+=+1