SOLUTION: Use the quadratic formula to solve the equation: 0 = x^2 - 5x + 6

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Question 476848: Use the quadratic formula to solve the equation:
0 = x^2 - 5x + 6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2-5x%2B6=0 Start with the given equation.


Notice that the quadratic x%5E2-5x%2B6 is in the form of Ax%5E2%2BBx%2BC where A=1, B=-5, and C=6


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-%28-5%29+%2B-+sqrt%28+%28-5%29%5E2-4%281%29%286%29+%29%29%2F%282%281%29%29 Plug in A=1, B=-5, and C=6


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


x+=+%285+%2B-+sqrt%28+25-4%281%29%286%29+%29%29%2F%282%281%29%29 Square -5 to get 25.


x+=+%285+%2B-+sqrt%28+25-24+%29%29%2F%282%281%29%29 Multiply 4%281%29%286%29 to get 24


x+=+%285+%2B-+sqrt%28+1+%29%29%2F%282%281%29%29 Subtract 24 from 25 to get 1


x+=+%285+%2B-+sqrt%28+1+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


x+=+%285+%2B-+1%29%2F%282%29 Take the square root of 1 to get 1.


x+=+%285+%2B+1%29%2F%282%29 or x+=+%285+-+1%29%2F%282%29 Break up the expression.


x+=+%286%29%2F%282%29 or x+=++%284%29%2F%282%29 Combine like terms.


x+=+3 or x+=+2 Simplify.


So the solutions are x+=+3 or x+=+2