Mr Daniels Maths
Solving Quadratic Simultaneous Equations

Easy

Medium

Difficult

Q1) solve
\( y= x^2 +30 x +21 \)
\(y= 19 x -3 \)
\(x= -3, y=-60 \) or \( x=-8, y=-155\)
Q1) Solve
\( y= x^2 +14 x +8 \)
\(y= 9 x +4 \)
\(x= -4, y=-32 \)
\( x=-1, y=-5\)
Q1) Solve
\( y= x^2 -2 x +8 \)
\(y= -9 x -2 \)
\(x= -5, y=43 \)
\( x=-2, y=16\)
Q2) solve
\( y= x^2 -6 x +46 \)
\(y= -19 x +10 \)
\(x= -9, y=181 \) or \( x=-4, y=86\)
Q2) Solve
\( y= x^2 +17 x +42 \)
\(y= 5 x +10 \)
\(x= -4, y=-10 \)
\( x=-8, y=-30\)
Q2) Solve
\( y= x^2 +6 x +22 \)
\(y= -5 x -2 \)
\(x= -3, y=13 \)
\( x=-8, y=38\)
Q3) solve
\( y= x^2 +21x +46 \)
\(y= 5 x -14 \)
\(x= -6, y=-44 \) or \( x=-10, y=-64\)
Q3) Solve
\( y= x^2 -6 x -6 \)
\(y= -10 x -9 \)
\(x= -3, y=21 \)
\( x=-1, y=1\)
Q3) Solve
\( y= x^2 +19 x +73 \)
\(y= 2 x +3 \)
\(x= -7, y=-11 \)
\( x=-10, y=-17\)
Q4) solve
\( y= x^2 +32 x +25 \)
\(y= 20 x -7 \)
\(x= -4, y=-87 \) or \( x=-8, y=-167\)
Q4) Solve
\( y= x^2 -4 x +11 \)
\(y= -7 x +9 \)
\(x= -1, y=16 \)
\( x=-2, y=23\)
Q4) Solve
\( y= x^2 +26 x +58 \)
\(y= 10 x -5 \)
\(x= -9, y=-95 \)
\( x=-7, y=-75\)
Q5) solve
\( y= x^2 +27 x +65 \)
\(y= 11x +2 \)
\(x= -7, y=-75 \) or \( x=-9, y=-97\)
Q5) Solve
\( y= x^2 +17 x +58 \)
\(y= 2 x +2 \)
\(x= -7, y=-12 \)
\( x=-8, y=-14\)
Q5) Solve
\( y= x^2 +8 x -6 \)
\(y= 4 x -10 \)
\(x= -2, y=-18 \)
\( x=-2, y=-18\)
Q6) solve
\( y= x^2 -8 x -7 \)
\(y= -12 x -10 \)
\(x= -1, y=2 \) or \( x=-3, y=26\)
Q6) Solve
\( y= x^2 +15 x +20 \)
\(y= 5 x -4 \)
\(x= -4, y=-24 \)
\( x=-6, y=-34\)
Q6) Solve
\( y= x^2 +18 x +9 \)
\(y= 10 x +2 \)
\(x= -7, y=-68 \)
\( x=-1, y=-8\)
Q7) solve
\( y= x^2 +11x +15 \)
\(y= -x -20 \)
\(x= -7, y=-13 \) or \( x=-5, y=-15\)
Q7) Solve
\( y= x^2 +14 x +1 \)
\(y= 7 x -9 \)
\(x= -5, y=-44 \)
\( x=-2, y=-23\)
Q7) Solve
\( y= x^2 +9 x +26 \)
\(y= -2 x +8 \)
\(x= -2, y=12 \)
\( x=-9, y=26\)
Q8) solve
\( y= x^2 +14 x +1 \)
\(y= 3 x -17 \)
\(x= -2, y=-23 \) or \( x=-9, y=-44\)
Q8) Solve
\( y= x^2 -x +5 \)
\(y= -9 x -7 \)
\(x= -2, y=11 \)
\( x=-6, y=47\)
Q8) Solve
\( y= x^2 +12 x -4 \)
\(y= 7 x -8 \)
\(x= -1, y=-15 \)
\( x=-4, y=-36\)
Q9) solve
\( y= x^2 +29 x +28 \)
\(y= 17 x +1 \)
\(x= -3, y=-50 \) or \( x=-9, y=-152\)
Q9) Solve
\( y= x^2 +8 x +8 \)
\(y= 3 x +2 \)
\(x= -3, y=-7 \)
\( x=-2, y=-4\)
Q9) Solve
\( y= x^2 +5 x +23 \)
\(y= -6 x -5 \)
\(x= -7, y=37 \)
\( x=-4, y=19\)
Q10) solve
\( y= x^2 +13 x +14 \)
\(y= 2 x -4 \)
\(x= -2, y=-8 \) or \( x=-9, y=-22\)
Q10) Solve
\( y= x^2 +8 x +34 \)
\(y= -5 x -8 \)
\(x= -6, y=22 \)
\( x=-7, y=27\)
Q10) Solve
\( y= x^2 +9 x +12 \)
\(y= 2 x +2 \)
\(x= -2, y=-2 \)
\( x=-5, y=-8\)