SOLUTION: How do you solve 3hsquared + 2h - 16 =0?

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Question 592280: How do you solve 3hsquared + 2h - 16 =0?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3h%5E2%2B2h-16=0 Start with the given equation.


Notice we have a quadratic equation in the form of ah%5E2%2Bbh%2Bc where a=3, b=2, and c=-16


Let's use the quadratic formula to solve for h


h+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29 Start with the quadratic formula


h+=+%28-%282%29+%2B-+sqrt%28+%282%29%5E2-4%283%29%28-16%29+%29%29%2F%282%283%29%29 Plug in a=3, b=2, and c=-16


h+=+%28-2+%2B-+sqrt%28+4-4%283%29%28-16%29+%29%29%2F%282%283%29%29 Square 2 to get 4.


h+=+%28-2+%2B-+sqrt%28+4--192+%29%29%2F%282%283%29%29 Multiply 4%283%29%28-16%29 to get -192


h+=+%28-2+%2B-+sqrt%28+4%2B192+%29%29%2F%282%283%29%29 Rewrite sqrt%284--192%29 as sqrt%284%2B192%29


h+=+%28-2+%2B-+sqrt%28+196+%29%29%2F%282%283%29%29 Add 4 to 192 to get 196


h+=+%28-2+%2B-+sqrt%28+196+%29%29%2F%286%29 Multiply 2 and 3 to get 6.


h+=+%28-2+%2B-+14%29%2F%286%29 Take the square root of 196 to get 14.


h+=+%28-2+%2B+14%29%2F%286%29 or h+=+%28-2+-+14%29%2F%286%29 Break up the expression.


h+=+%2812%29%2F%286%29 or h+=++%28-16%29%2F%286%29 Combine like terms.


h+=+2 or h+=+-8%2F3 Simplify.


So the answers are h+=+2 or h+=+-8%2F3