SOLUTION: 2x^2+5x-3+0

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Question 175636This question is from textbook
: 2x^2+5x-3+0 This question is from textbook

Found 2 solutions by vleith, jim_thompson5910:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Did you mean 2x%5E2%2B5x-3+=+0
Here is a link to a factoring online tool
http://www.hostsrv.com/webmab/app1/MSP/quickmath/02/pageGenerate?site=quickmath&s1=algebra&s2=factor&s3=basic
%282x%2B1%29%28x-3%29+=+0

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x%5E2%2B5x-3=0 Start with the given equation.


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


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-%285%29+%2B-+sqrt%28+%285%29%5E2-4%282%29%28-3%29+%29%29%2F%282%282%29%29 Plug in a=2, b=5, and c=-3


x+=+%28-5+%2B-+sqrt%28+25-4%282%29%28-3%29+%29%29%2F%282%282%29%29 Square 5 to get 25.


x+=+%28-5+%2B-+sqrt%28+25--24+%29%29%2F%282%282%29%29 Multiply 4%282%29%28-3%29 to get -24


x+=+%28-5+%2B-+sqrt%28+25%2B24+%29%29%2F%282%282%29%29 Rewrite sqrt%2825--24%29 as sqrt%2825%2B24%29


x+=+%28-5+%2B-+sqrt%28+49+%29%29%2F%282%282%29%29 Add 25 to 24 to get 49


x+=+%28-5+%2B-+sqrt%28+49+%29%29%2F%284%29 Multiply 2 and 2 to get 4.


x+=+%28-5+%2B-+7%29%2F%284%29 Take the square root of 49 to get 7.


x+=+%28-5+%2B+7%29%2F%284%29 or x+=+%28-5+-+7%29%2F%284%29 Break up the expression.


x+=+%282%29%2F%284%29 or x+=++%28-12%29%2F%284%29 Combine like terms.


x+=+1%2F2 or x+=+-3 Simplify.


So the answers are x+=+1%2F2 or x+=+-3