SOLUTION: 3x^2+22x-16=0

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Question 472158: 3x^2+22x-16=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3x%5E2%2B22x-16=0 Start with the given equation.


Notice that the quadratic 3x%5E2%2B22x-16 is in the form of Ax%5E2%2BBx%2BC where A=3, B=22, and C=-16


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-%2822%29+%2B-+sqrt%28+%2822%29%5E2-4%283%29%28-16%29+%29%29%2F%282%283%29%29 Plug in A=3, B=22, and C=-16


x+=+%28-22+%2B-+sqrt%28+484-4%283%29%28-16%29+%29%29%2F%282%283%29%29 Square 22 to get 484.


x+=+%28-22+%2B-+sqrt%28+484--192+%29%29%2F%282%283%29%29 Multiply 4%283%29%28-16%29 to get -192


x+=+%28-22+%2B-+sqrt%28+484%2B192+%29%29%2F%282%283%29%29 Rewrite sqrt%28484--192%29 as sqrt%28484%2B192%29


x+=+%28-22+%2B-+sqrt%28+676+%29%29%2F%282%283%29%29 Add 484 to 192 to get 676


x+=+%28-22+%2B-+sqrt%28+676+%29%29%2F%286%29 Multiply 2 and 3 to get 6.


x+=+%28-22+%2B-+26%29%2F%286%29 Take the square root of 676 to get 26.


x+=+%28-22+%2B+26%29%2F%286%29 or x+=+%28-22+-+26%29%2F%286%29 Break up the expression.


x+=+%284%29%2F%286%29 or x+=++%28-48%29%2F%286%29 Combine like terms.


x+=+2%2F3 or x+=+-8 Simplify.


So the solutions are x+=+2%2F3 or x+=+-8