Mr Daniels Maths
Solving Quadratic Simultaneous Equations

Set 1

Set 2

Set 3

Q1) solve
\( y= x^2 +31x +27 \)
\(y= 20 x +9 \)
[ \(x= -9, y=-171 \) or \( x=-2, y=-31\)]

Q1) Solve
\( y= x^2 +18 x +37 \)
\(y= 6 x +10 \)
[ \(x= -3, y=-8 \)
\( x=-9, y=-44\)]

Q1) Solve
\( y= x^2 +8 x +12 \)
\(y= 5 x +10 \)
[ \(x= -1, y=5 \)
\( x=-2, y=0\)]

Q2) solve
\( y= x^2 -12 x +6 \)
\(y= -17 x +2 \)
[ \(x= -4, y=70 \) or \( x=-1, y=19\)]

Q2) Solve
\( y= x^2 +6 x +32 \)
\(y= -6 x -3 \)
[ \(x= -7, y=39 \)
\( x=-5, y=27\)]

Q2) Solve
\( y= x^2 +17 x +83 \)
\(y= -2 x -7 \)
[ \(x= -9, y=11 \)
\( x=-10, y=13\)]

Q3) solve
\( y= x^2 +25 x +27 \)
\(y= 15 x +2 \)
[ \(x= -5, y=-73 \) or \( x=-5, y=-73\)]

Q3) Solve
\( y= x^2 -2 x +14 \)
\(y= -10 x -2 \)
[ \(x= -4, y=38 \)
\( x=-4, y=38\)]

Q3) Solve
\( y= x^2 +19 x +68 \)
\(y= 3 x +8 \)
[ \(x= -10, y=-22 \)
\( x=-6, y=-10\)]

Q4) solve
\( y= x^2 +7 x +24 \)
\(y= -5 x -3 \)
[ \(x= -3, y=12 \) or \( x=-9, y=42\)]

Q4) Solve
\( y= x^2 +14 x +28 \)
\(y= 2 x -7 \)
[ \(x= -7, y=-21 \)
\( x=-5, y=-17\)]

Q4) Solve
\( y= x^2 +13 x +27 \)
\(y= 2 x +3 \)
[ \(x= -8, y=-13 \)
\( x=-3, y=-3\)]

Q5) solve
\( y= x^2 +2 x -17 \)
\(y= -2 x -20 \)
[ \(x= -3, y=-14 \) or \( x=-1, y=-18\)]

Q5) Solve
\( y= x^2 +0 x -5 \)
\(y= -3 x -7 \)
[ \(x= -2, y=-1 \)
\( x=-1, y=-4\)]

Q5) Solve
\( y= x^2 +16 x +22 \)
\(y= 8 x +7 \)
[ \(x= -3, y=-17 \)
\( x=-5, y=-33\)]

Q6) solve
\( y= x^2 +19 x -7 \)
\(y= 14 x -13 \)
[ \(x= -3, y=-55 \) or \( x=-2, y=-41\)]

Q6) Solve
\( y= x^2 +20 x +45 \)
\(y= 7 x +5 \)
[ \(x= -8, y=-51 \)
\( x=-5, y=-30\)]

Q6) Solve
\( y= x^2 +14 x +67 \)
\(y= -3 x -5 \)
[ \(x= -8, y=19 \)
\( x=-9, y=22\)]

Q7) solve
\( y= x^2 +21x +27 \)
\(y= 13 x +20 \)
[ \(x= -1, y=7 \) or \( x=-7, y=-71\)]

Q7) Solve
\( y= x^2 +20 x +56 \)
\(y= 5 x +2 \)
[ \(x= -6, y=-28 \)
\( x=-9, y=-43\)]

Q7) Solve
\( y= x^2 +13 x +81 \)
\(y= -6 x -9 \)
[ \(x= -9, y=45 \)
\( x=-10, y=51\)]

Q8) solve
\( y= x^2 +21x +60 \)
\(y= 7 x +11 \)
[ \(x= -7, y=-38 \) or \( x=-7, y=-38\)]

Q8) Solve
\( y= x^2 +5 x +14 \)
\(y= -6 x -4 \)
[ \(x= -2, y=8 \)
\( x=-9, y=50\)]

Q8) Solve
\( y= x^2 +12 x +6 \)
\(y= 6 x -2 \)
[ \(x= -4, y=-26 \)
\( x=-2, y=-14\)]

Q9) solve
\( y= x^2 +29 x +10 \)
\(y= 18 x -8 \)
[ \(x= -2, y=-44 \) or \( x=-9, y=-170\)]

Q9) Solve
\( y= x^2 +6 x +16 \)
\(y= -6 x -4 \)
[ \(x= -10, y=56 \)
\( x=-2, y=8\)]

Q9) Solve
\( y= x^2 +15 x +28 \)
\(y= 4 x -2 \)
[ \(x= -5, y=-22 \)
\( x=-6, y=-26\)]

Q10) solve
\( y= x^2 +35 x +72 \)
\(y= 20 x +16 \)
[ \(x= -7, y=-124 \) or \( x=-8, y=-144\)]

Q10) Solve
\( y= x^2 +7 x +18 \)
\(y= -3 x +9 \)
[ \(x= -1, y=12 \)
\( x=-9, y=36\)]

Q10) Solve
\( y= x^2 +15 x +98 \)
\(y= -4 x +8 \)
[ \(x= -10, y=48 \)
\( x=-9, y=44\)]