SOLUTION: 4x^2-13x+3=0

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Question 337545: 4x^2-13x+3=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4x%5E2-13x%2B3=0 Start with the given equation.


Notice that the quadratic 4x%5E2-13x%2B3 is in the form of Ax%5E2%2BBx%2BC where A=4, B=-13, and C=3


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-%28-13%29+%2B-+sqrt%28+%28-13%29%5E2-4%284%29%283%29+%29%29%2F%282%284%29%29 Plug in A=4, B=-13, and C=3


x+=+%2813+%2B-+sqrt%28+%28-13%29%5E2-4%284%29%283%29+%29%29%2F%282%284%29%29 Negate -13 to get 13.


x+=+%2813+%2B-+sqrt%28+169-4%284%29%283%29+%29%29%2F%282%284%29%29 Square -13 to get 169.


x+=+%2813+%2B-+sqrt%28+169-48+%29%29%2F%282%284%29%29 Multiply 4%284%29%283%29 to get 48


x+=+%2813+%2B-+sqrt%28+121+%29%29%2F%282%284%29%29 Subtract 48 from 169 to get 121


x+=+%2813+%2B-+sqrt%28+121+%29%29%2F%288%29 Multiply 2 and 4 to get 8.


x+=+%2813+%2B-+11%29%2F%288%29 Take the square root of 121 to get 11.


x+=+%2813+%2B+11%29%2F%288%29 or x+=+%2813+-+11%29%2F%288%29 Break up the expression.


x+=+%2824%29%2F%288%29 or x+=++%282%29%2F%288%29 Combine like terms.


x+=+3 or x+=+1%2F4 Simplify.


So the solutions are x+=+3 or x+=+1%2F4

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

Also, feel free to check out my tutoring website.

Jim