SOLUTION: Solve or answer the questions regarding equations. Show work. Find the roots of 3x^2 plus 2x minus 4 = 0

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Question 981418: Solve or answer the questions regarding equations. Show work.

Find the roots of 3x^2 plus 2x minus 4 = 0

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E2+%2B2x-+4+=+0....use quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ....in your case, a=3,b=2, and c=-4
x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A3%2A%28-4%29+%29%29%2F%282%2Aa%29+
x+=+%28-2+%2B-+sqrt%28+4%2B48+%29%29%2F%282%2A3%29+
x+=+%28-2+%2B-+sqrt%28+52+%29%29%2F6+
x+=+%28-2+%2B-+sqrt%28+4%2A13+%29%29%2F6+
x+=+%28-2+%2B-+2sqrt%28+13+%29%29%2F6+
x+=+%28-cross%282%291+%2B-+cross%282%291sqrt%28+13+%29%29%2Fcross%286%293+
x+=+%28-1+%2B-+sqrt%28+13+%29%29%2F3+
solutions:
exact:
x+=+%28-1+%2B+sqrt%28+13+%29%29%2F3+
x+=+%28-1+-+sqrt%28+13+%29%29%2F3+
approximate:
x+=+%28-1+%2B+3.61%29%2F3+=>x+=+0.87
x+=+%28-1+-+3.61%29%2F3+=>x+=+-1.54