SOLUTION: Solve equation. 4xsqared-7x+3=0

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Question 484111: Solve equation. 4xsqared-7x+3=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4x%5E2-7x%2B3=0 Start with the given equation.


Notice that the quadratic 4x%5E2-7x%2B3 is in the form of Ax%5E2%2BBx%2BC where A=4, B=-7, 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-%28-7%29+%2B-+sqrt%28+%28-7%29%5E2-4%284%29%283%29+%29%29%2F%282%284%29%29 Plug in A=4, B=-7, and C=3


x+=+%287+%2B-+sqrt%28+%28-7%29%5E2-4%284%29%283%29+%29%29%2F%282%284%29%29 Negate -7 to get 7.


x+=+%287+%2B-+sqrt%28+49-4%284%29%283%29+%29%29%2F%282%284%29%29 Square -7 to get 49.


x+=+%287+%2B-+sqrt%28+49-48+%29%29%2F%282%284%29%29 Multiply 4%284%29%283%29 to get 48


x+=+%287+%2B-+sqrt%28+1+%29%29%2F%282%284%29%29 Subtract 48 from 49 to get 1


x+=+%287+%2B-+sqrt%28+1+%29%29%2F%288%29 Multiply 2 and 4 to get 8.


x+=+%287+%2B-+1%29%2F%288%29 Take the square root of 1 to get 1.


x+=+%287+%2B+1%29%2F%288%29 or x+=+%287+-+1%29%2F%288%29 Break up the expression.


x+=+%288%29%2F%288%29 or x+=++%286%29%2F%288%29 Combine like terms.


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


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