document.write( "Question 37186: Hi, i need help with 2 problems for school study. I cant seem to work them out. If possible please break it down so i can understand how to solve these. I am more a visiual learning, i cant just have the answer, i need to see how to solve it all. Thanks if anyone can help me.
\n" ); document.write( "Rubit, Rubit\r
\n" ); document.write( "\n" ); document.write( "1. Solve by quadratic formula
\n" ); document.write( "3x^2 - 2x -2 = 0\r
\n" ); document.write( "\n" ); document.write( "2. 2y^2 - y = 6 \n" ); document.write( "

Algebra.Com's Answer #22900 by ilana(307) $\"\"$ $\"About$

You can put this solution on YOUR website!
1. Visually, we are looking at a parabola, so it looks like a U with the x-axis going through it horizontally, and hitting it at 2 points. We want to find those 2 points (the values for x where y=0).
\n" ); document.write( "This is a quadratic equation, so we can solve it using the quadratic formula.
\n" ); document.write( "x=(-b+/-sqrt(b^2-4ac))/2a
\n" ); document.write( "a=3, b=-2, c=-2
\n" ); document.write( "x=(-2+/-sqrt(4+24))/6 = (-2+/-sqrt28)/6 = (-2+/-2sqrt7)/6 = (-1+/-sqrt7)/3.\r
\n" ); document.write( "\n" ); document.write( "2. For this one, we can rewrite it as 2y^2-y-6=0.
\n" ); document.write( "The fact that we have y instead of x makes absolutely no difference.
\n" ); document.write( "You can solve it using the same formula as we used above:
\n" ); document.write( "a=2, b=-1, c=-6, so y=(1+/-sqrt(1+48))/4 = (1+/-7)/4 = 8/4, -6/4,
\n" ); document.write( "So y=2 and y=-3/2. \n" ); document.write( "

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