SOLUTION: 66x^2 + 67x + 10 =0 Solve followig the square root method or the quadratic formula. Confused on how to work this out any help will be appriciated.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 66x^2 + 67x + 10 =0 Solve followig the square root method or the quadratic formula. Confused on how to work this out any help will be appriciated.      Log On


   

Question 87558: 66x^2 + 67x + 10 =0
Solve followig the square root method or the quadratic formula.
Confused on how to work this out any help will be appriciated.
Found 3 solutions by checkley75, rapaljer, stanbon:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
66x^2+67x+10=0using the quadratic equation we get:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x=(-67+-sqrt[67^2-4*66*10])/2*66
x=(-67+-sqrt[4489-2640])/132
x=(-67+-sqrt[1849])/132
x=(-67+-43)/132
x=(-67+43)/132
x=24/132
x=.18181818 answer.
x=(-67-43)/132
x=110/132
x=.833333 answer.

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
66x%5E2+%2B+67x+%2B+10+=0 This one looks intimidating, when you apply the quadratic formula. Actually, it's not so bad, once you get past the b%5E2-4ac!

66x%5E2+%2B+67x+%2B+10+=0
a=66, b=67, c=10

x=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x=+%28-67%2B-sqrt%2867%5E2-4%2A66%2A10%29%29%2F%282%2A66%29
x=+%28-67%2B-sqrt%281849%29%29%2F%28132%29
x=+%28-67%2B-43%29%2F%28132%29
x=-24%2F132 or x=-110%2F132
x=-2%2F11 or x=+-55%2F66=-5%2F6

Of course, this means that the problem could have been solved by factoring!!
%2811x%2B2%29%286x%2B5%29=0+

Another really interesting problem!!

R^2 Retired from SCC

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
66x^2 + 67x + 10 =0
Solve followig the square root method or the quadratic formula.
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If you look at the discriminant you get b^2-4ac = 1849
Then sqrt 1849 = 43
Then (-67+-43)/[2*66]
x = -2/11 or x = -5/6
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Cheers,
Stan H.