SOLUTION: Determine whether the following equations have a solution or not? Justify your answer 3z2 + z - 1 = 0

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Question 132531: Determine whether the following equations have a solution or not? Justify your answer
3z2 + z - 1 = 0

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
ALL QUADRATIC EQUATIONS HAVE SOLUTIONS ( SOME REAL , SOME COMPLEX & SOME IMAGINARY).
3Z^2+Z-1=0
HERE WE USE THE QUADRATIC EQUATION:x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
Z=(-1+-SQRT[1^2-4*3*-1])/2*3
Z=(-1+-SQRT[1+12])/6
Z=(-1+-SQRT13)/6
Z=(-1+-3.6)/6
Z=(-1+3.6)/6
Z=2.6/6
Z=1.3/3 OR .43 ANSWER.
Z=(-1-3.6)/6
Z=-4.6/6
Z=-2.3/3 OR -.77 ANSWER.