Test: Quadratic Function II - Ambitious

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Question 1:   Find the minimum or maximum value of x 2 +5x+17=0
Maximum at ( 2 1 4 ,9 2 3 )
Maximum at ( 1 1 2 ,6 1 4 )
Minimum at ( 2 1 2 ,10 3 4 )
Minimum at ( 2 2 3 ,7 5 8 )
Question 2:   Find the minimum or maximum value of 1213x3 x 2 =0
Maximum at ( 1 5 6 ,17 1 4 )
Maximum at ( 2 1 3 ,23 2 5 )
Maximum at ( 3 1 5 ,7 4 7 )
Maximum at ( 2 1 6 ,26 1 12 )
Question 3:   Solve the simultaneous equations: { 3y+3x=21 2 y 2 x 2 =17
{ y=17.723 x=24.723 or : { y=3.723 x=3.277
{ y=3 x=10 or : { y=7 x=0
{ y=4.25 x=11.2 or : { y=5.34 x=2.66
{ y=12.42 x=19.42 or : { y=3.759 x=3.241
Question 4:   Solve the simultaneous equations: { 3x+y=5 x 2 + y 2 =13
{ x=0.225 y=3.125 or { x=0.315 y=4.095
{ x=1.755 y=8.935 or { x=1.365 y=6.225
{ x=0.45 y=1.705 or { x=3.299 y=5.175
{ x=0.475 y=3.575 or { x=2.525 y=2.575
Question 5:   If the roots of 3 x 2 5x+2=0 are x 1 and x 2 , find the equation whith the roots x 1 2 +1 , x 2 2 +1
6 x 2 17x+23=0
3 x 2 +15x5=0
9 x 2 31x+26=0
9 x 2 16x+6=0
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