SOLUTION: x^2 +6x -25=0 answer:x= -3 +-sqrt(34) need a break down of how my text book got this answer

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Question 184639: x^2 +6x -25=0


answer:x= -3 +-sqrt(34)


need a break down of how my text book got this answer

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Via Quadratic--->x=%28-b%2B-sqrt%28highlight%28%28b%5E2-4ac%29%29%29%29%2F%282a%29
Solving 1st the discriminant (highlighted)on our eqn. x%5E2+%2B6x+-25=0
6%5E2-4%2A1%2A-25=36%2B100=136
Substituting:
x=%28-6%2B-sqrt%28136%29%29%2F%282%2A1%29=%28-6%2B-sqrt%28136%29%29%2F2
x=%28-6%2F2%29+-%28sqrt%28136%29%2F2%29
x=-3%2B-highlight%285.8309519%29
If you squared "5.8309519"=5.8309519%5E2=34. Therefore, it's just the same as:
x=-3%2B-sqrt%2834%29
thank you,
Jojo