SOLUTION: solve by using quadratic formula. prove answer or correct by checking (5x+1)^2+13=0 This is my answer can it be simplified further. Thanks 25x^2+10x+14=0 b^2-4ac=(10)^2-4*

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: solve by using quadratic formula. prove answer or correct by checking (5x+1)^2+13=0 This is my answer can it be simplified further. Thanks 25x^2+10x+14=0 b^2-4ac=(10)^2-4*      Log On


   

Question 766327: solve by using quadratic formula. prove answer or correct by checking
(5x+1)^2+13=0
This is my answer can it be simplified further. Thanks
25x^2+10x+14=0
b^2-4ac=(10)^2-4*(25)(14)=100-1400=-1300
x=(-b±√(b^2-4ac))/2a
x=(-(10)±√(-1300))/(2(25))
x=(-10±√(-(2^2 x5^2 x〖13〗^1 ))/(2(25))
1/50(-10±10i√13)
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Using solution to quadratic formula is the long way to the answer because you already have the equation in standard form. Just solve directly.

%285x%2B1%29%5E2=-13
5x%2B1=%28%2B-sqrt%28-13%29%29
5x=%28-1%2B-sqrt%28-13%29%29
highlight%28x=%28-1%2B-sqrt%28-13%29%29%2F5%29

While your steps are a little difficult to follow, you seemed to simply not simplify at the end; otherwise, good.