Mr Daniels Maths
Solving Quadratic Simultaneous Equations

Set 1

Set 2

Set 3

Q1) solve
\( y= x^2 -10 x -5 \)
\(y= -16 x -14 \)
[ \(x= -3, y=34 \) or \( x=-3, y=34\)]

Q1) Solve
\( y= x^2 +x +9 \)
\(y= -7 x -6 \)
[ \(x= -5, y=29 \)
\( x=-3, y=15\)]

Q1) Solve
\( y= x^2 +23 x +56 \)
\(y= 7 x -4 \)
[ \(x= -6, y=-46 \)
\( x=-10, y=-74\)]

Q2) solve
\( y= x^2 -3 x +20 \)
\(y= -13 x -4 \)
[ \(x= -6, y=74 \) or \( x=-4, y=48\)]

Q2) Solve
\( y= x^2 +6 x +24 \)
\(y= -3 x +6 \)
[ \(x= -6, y=24 \)
\( x=-3, y=15\)]

Q2) Solve
\( y= x^2 +16 x +32 \)
\(y= 3 x +2 \)
[ \(x= -3, y=-7 \)
\( x=-10, y=-28\)]

Q3) solve
\( y= x^2 +2 x -3 \)
\(y= -5 x -15 \)
[ \(x= -4, y=5 \) or \( x=-3, y=0\)]

Q3) Solve
\( y= x^2 +8 x +55 \)
\(y= -8 x -5 \)
[ \(x= -6, y=43 \)
\( x=-10, y=75\)]

Q3) Solve
\( y= x^2 +6 x +33 \)
\(y= -4 x +9 \)
[ \(x= -4, y=25 \)
\( x=-6, y=33\)]

Q4) solve
\( y= x^2 +0 x +18 \)
\(y= -6 x +10 \)
[ \(x= -2, y=22 \) or \( x=-4, y=34\)]

Q4) Solve
\( y= x^2 +3 x +32 \)
\(y= -7 x +7 \)
[ \(x= -5, y=42 \)
\( x=-5, y=42\)]

Q4) Solve
\( y= x^2 +12 x +74 \)
\(y= -6 x -6 \)
[ \(x= -10, y=54 \)
\( x=-8, y=42\)]

Q5) solve
\( y= x^2 +19 x +34 \)
\(y= 9 x +18 \)
[ \(x= -8, y=-54 \) or \( x=-2, y=0\)]

Q5) Solve
\( y= x^2 -2 x +11 \)
\(y= -6 x +7 \)
[ \(x= -2, y=19 \)
\( x=-2, y=19\)]

Q5) Solve
\( y= x^2 +21x +79 \)
\(y= 3 x -2 \)
[ \(x= -9, y=-29 \)
\( x=-9, y=-29\)]

Q6) solve
\( y= x^2 +22 x +66 \)
\(y= 8 x +17 \)
[ \(x= -7, y=-39 \) or \( x=-7, y=-39\)]

Q6) Solve
\( y= x^2 +4 x +11 \)
\(y= 2 x +10 \)
[ \(x= -1, y=8 \)
\( x=-1, y=8\)]

Q6) Solve
\( y= x^2 +23 x +54 \)
\(y= 7 x -9 \)
[ \(x= -7, y=-58 \)
\( x=-9, y=-72\)]

Q7) solve
\( y= x^2 +16 x +106 \)
\(y= -4 x +6 \)
[ \(x= -10, y=46 \) or \( x=-10, y=46\)]

Q7) Solve
\( y= x^2 +8 x +9 \)
\(y= 6 x +8 \)
[ \(x= -1, y=2 \)
\( x=-1, y=2\)]

Q7) Solve
\( y= x^2 +19 x +9 \)
\(y= 9 x -7 \)
[ \(x= -8, y=-79 \)
\( x=-2, y=-25\)]

Q8) solve
\( y= x^2 +x +23 \)
\(y= -8 x +3 \)
[ \(x= -5, y=43 \) or \( x=-4, y=35\)]

Q8) Solve
\( y= x^2 +12 x +1 \)
\(y= 8 x -3 \)
[ \(x= -2, y=-19 \)
\( x=-2, y=-19\)]

Q8) Solve
\( y= x^2 +14 x +18 \)
\(y= 3 x -6 \)
[ \(x= -3, y=-15 \)
\( x=-8, y=-30\)]

Q9) solve
\( y= x^2 +5 x +20 \)
\(y= -9 x -20 \)
[ \(x= -4, y=16 \) or \( x=-10, y=70\)]

Q9) Solve
\( y= x^2 +x -6 \)
\(y= -2 x -8 \)
[ \(x= -1, y=-6 \)
\( x=-2, y=-4\)]

Q9) Solve
\( y= x^2 +11x +5 \)
\(y= 8 x +3 \)
[ \(x= -1, y=-5 \)
\( x=-2, y=-13\)]

Q10) solve
\( y= x^2 +34 x +56 \)
\(y= 20 x +11 \)
[ \(x= -9, y=-169 \) or \( x=-5, y=-89\)]

Q10) Solve
\( y= x^2 +13 x +58 \)
\(y= -2 x +2 \)
[ \(x= -8, y=18 \)
\( x=-7, y=16\)]

Q10) Solve
\( y= x^2 +22 x +48 \)
\(y= 8 x +8 \)
[ \(x= -4, y=-24 \)
\( x=-10, y=-72\)]