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You can put this solution on YOUR website!
(a) Solve the the equation 3x2 − 14x > −16
\n" ); document.write( "3x^2-14x+16 > 0
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\n" ); document.write( "Solve 3x^2-14x+16 = 0 to find the roots.
\n" ); document.write( "x = 2 or x = 2.667
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\n" ); document.write( "Draw a number line ; plot x = 2 and x = 2.667
\n" ); document.write( "Check each of the three resulting intervals on the number
\n" ); document.write( "line to find solutions for the inequality::
\n" ); document.write( "Check x= 0 in the left interval::3*0-14*0+16 > 0 ;true ; solutions in (-oo,2]
\n" ); document.write( "Check x =2.5 in middle interval:: 3(6.25)-14(2.5)+16>0; false no ans in (2,2.667]
\n" ); document.write( "Check x =10 in right interval:3(100)-14(10)+16>0; true;solutions in (2.66666,+oo)
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\n" ); document.write( "(b) Using the 𝐈𝐧𝐯𝐞𝐫𝐬𝐞 𝐌𝐞𝐭𝐡𝐨𝐝,solve the system below:
\n" ); document.write( "x + 4y = 2 − z
\n" ); document.write( "3x + 2y − 2z = −9
\n" ); document.write( "y + 3z = 4x + 7
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\n" ); document.write( "Rearrange::
\n" ); document.write( "x + 4y + z = 2
\n" ); document.write( "3x+2y-2z = -9
\n" ); document.write( "4x-y-3z = -7
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\n" ); document.write( "Invert the coefficient 3x3 matrix to get
\n" ); document.write( "0.17..0.14..-0.04
\n" ); document.write( "0.23..-0.44..0.04
\n" ); document.write( "0.03..-0.04..0,04
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\n" ); document.write( "Multiply that times the column vector [2..-9..-7] to get
\n" ); document.write( "x =-0.66
\n" ); document.write( "y = 4.16
\n" ); document.write( "z = 0.16
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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