Mr Daniels Maths
Solving Quadratic Simultaneous Equations

Set 1

Set 2

Set 3

Q1) solve
\( y= x^2 +5 x +9 \)
\(y= 3 x +8 \)
[ \(x= -1, y=5 \) or \( x=-1, y=5\)]

Q1) Solve
\( y= x^2 +6 x +56 \)
\(y= -10 x -4 \)
[ \(x= -10, y=96 \)
\( x=-6, y=56\)]

Q1) Solve
\( y= x^2 +13 x +11 \)
\(y= 8 x +5 \)
[ \(x= -2, y=-11 \)
\( x=-3, y=-19\)]

Q2) solve
\( y= x^2 -7 x +19 \)
\(y= -16 x +5 \)
[ \(x= -7, y=117 \) or \( x=-2, y=37\)]

Q2) Solve
\( y= x^2 +15 x +34 \)
\(y= 2 x -6 \)
[ \(x= -8, y=-22 \)
\( x=-5, y=-16\)]

Q2) Solve
\( y= x^2 +10 x +12 \)
\(y= 5 x +6 \)
[ \(x= -2, y=-4 \)
\( x=-3, y=-9\)]

Q3) solve
\( y= x^2 +10 x +31 \)
\(y= 3 x +19 \)
[ \(x= -3, y=10 \) or \( x=-4, y=7\)]

Q3) Solve
\( y= x^2 +24 x +42 \)
\(y= 10 x -6 \)
[ \(x= -6, y=-66 \)
\( x=-8, y=-86\)]

Q3) Solve
\( y= x^2 -4 x +7 \)
\(y= -8 x +4 \)
[ \(x= -1, y=12 \)
\( x=-3, y=28\)]

Q4) solve
\( y= x^2 +20 x +26 \)
\(y= 6 x -14 \)
[ \(x= -10, y=-74 \) or \( x=-4, y=-38\)]

Q4) Solve
\( y= x^2 -x +10 \)
\(y= -10 x -8 \)
[ \(x= -6, y=52 \)
\( x=-3, y=22\)]

Q4) Solve
\( y= x^2 +8 x +58 \)
\(y= -8 x -5 \)
[ \(x= -9, y=67 \)
\( x=-7, y=51\)]

Q5) solve
\( y= x^2 +6 x +47 \)
\(y= -9 x -9 \)
[ \(x= -7, y=54 \) or \( x=-8, y=63\)]

Q5) Solve
\( y= x^2 +2 x +14 \)
\(y= -10 x -6 \)
[ \(x= -2, y=14 \)
\( x=-10, y=94\)]

Q5) Solve
\( y= x^2 -3 x +15 \)
\(y= -10 x +5 \)
[ \(x= -5, y=55 \)
\( x=-2, y=25\)]

Q6) solve
\( y= x^2 +9 x +22 \)
\(y= 2 x +12 \)
[ \(x= -5, y=2 \) or \( x=-2, y=8\)]

Q6) Solve
\( y= x^2 +4 x +8 \)
\(y= 2 x +7 \)
[ \(x= -1, y=5 \)
\( x=-1, y=5\)]

Q6) Solve
\( y= x^2 +17 x +46 \)
\(y= 2 x -4 \)
[ \(x= -10, y=-24 \)
\( x=-5, y=-14\)]

Q7) solve
\( y= x^2 -10 x +3 \)
\(y= -19 x -5 \)
[ \(x= -8, y=147 \) or \( x=-1, y=14\)]

Q7) Solve
\( y= x^2 +7 x +30 \)
\(y= -5 x -6 \)
[ \(x= -6, y=24 \)
\( x=-6, y=24\)]

Q7) Solve
\( y= x^2 +2 x +25 \)
\(y= -7 x +7 \)
[ \(x= -3, y=28 \)
\( x=-6, y=49\)]

Q8) solve
\( y= x^2 +10 x +1 \)
\(y= x -7 \)
[ \(x= -1, y=-8 \) or \( x=-8, y=-15\)]

Q8) Solve
\( y= x^2 +2 x +23 \)
\(y= -8 x +2 \)
[ \(x= -3, y=26 \)
\( x=-7, y=58\)]

Q8) Solve
\( y= x^2 +4 x +41 \)
\(y= -8 x +9 \)
[ \(x= -4, y=41 \)
\( x=-8, y=73\)]

Q9) solve
\( y= x^2 -4 x +25 \)
\(y= -17 x -5 \)
[ \(x= -3, y=46 \) or \( x=-10, y=165\)]

Q9) Solve
\( y= x^2 +19 x +37 \)
\(y= 6 x +7 \)
[ \(x= -10, y=-53 \)
\( x=-3, y=-11\)]

Q9) Solve
\( y= x^2 +11x +46 \)
\(y= -2 x +6 \)
[ \(x= -8, y=22 \)
\( x=-5, y=16\)]

Q10) solve
\( y= x^2 +9 x +20 \)
\(y= -4 x -10 \)
[ \(x= -10, y=30 \) or \( x=-3, y=2\)]

Q10) Solve
\( y= x^2 +19 x +43 \)
\(y= 5 x +3 \)
[ \(x= -4, y=-17 \)
\( x=-10, y=-47\)]

Q10) Solve
\( y= x^2 +12 x -4 \)
\(y= 5 x -10 \)
[ \(x= -6, y=-40 \)
\( x=-1, y=-15\)]