SOLUTION: Solve/ x^2=13/2x-13=0 I have come to the step of -13/2 +and- the square root of 169/4+52 all divided by 2. I have no idea how to solve it from here. Thank you

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve/ x^2=13/2x-13=0 I have come to the step of -13/2 +and- the square root of 169/4+52 all divided by 2. I have no idea how to solve it from here. Thank you       Log On


   

Question 176652: Solve/
x^2=13/2x-13=0
I have come to the step of -13/2 +and- the square root of 169/4+52 all divided by 2. I have no idea how to solve it from here.
Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the equation x%5E2%2B%2813%2F2%29x-13=0 ???


x%5E2%2B%2813%2F2%29x-13=0 Start with the given equation.


2x%5E2%2B13x-26=0 Multiply EVERY term by the LCD 2 to clear the fraction.


Notice we have a quadratic equation in the form of ax%5E2%2Bbx%2Bc where a=2, b=13, and c=-26


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-%2813%29+%2B-+sqrt%28+%2813%29%5E2-4%282%29%28-26%29+%29%29%2F%282%282%29%29 Plug in a=2, b=13, and c=-26


x+=+%28-13+%2B-+sqrt%28+169-4%282%29%28-26%29+%29%29%2F%282%282%29%29 Square 13 to get 169.


x+=+%28-13+%2B-+sqrt%28+169--208+%29%29%2F%282%282%29%29 Multiply 4%282%29%28-26%29 to get -208


x+=+%28-13+%2B-+sqrt%28+169%2B208+%29%29%2F%282%282%29%29 Rewrite sqrt%28169--208%29 as sqrt%28169%2B208%29


x+=+%28-13+%2B-+sqrt%28+377+%29%29%2F%282%282%29%29 Add 169 to 208 to get 377


x+=+%28-13+%2B-+sqrt%28+377+%29%29%2F%284%29 Multiply 2 and 2 to get 4.


x+=+%28-13%2Bsqrt%28377%29%29%2F%284%29 or x+=+%28-13-sqrt%28377%29%29%2F%284%29 Break up the expression.


So the answers are x+=+%28-13%2Bsqrt%28377%29%29%2F%284%29 or x+=+%28-13-sqrt%28377%29%29%2F%284%29


which approximate to x=1.604 or x=-8.104