Mr Daniels Maths
Solving Quadratic Simultaneous Equations

Set 1

Set 2

Set 3

Q1) solve
\( y= x^2 +24 x +34 \)
\(y= 11x -2 \)
[ \(x= -9, y=-101 \) or \( x=-4, y=-46\)]

Q1) Solve
\( y= x^2 +10 x +33 \)
\(y= -2 x -2 \)
[ \(x= -7, y=12 \)
\( x=-5, y=8\)]

Q1) Solve
\( y= x^2 +13 x +99 \)
\(y= -6 x +9 \)
[ \(x= -10, y=69 \)
\( x=-9, y=63\)]

Q2) solve
\( y= x^2 +26 x +22 \)
\(y= 15 x +12 \)
[ \(x= -10, y=-138 \) or \( x=-1, y=-3\)]

Q2) Solve
\( y= x^2 +7 x +69 \)
\(y= -9 x +5 \)
[ \(x= -8, y=77 \)
\( x=-8, y=77\)]

Q2) Solve
\( y= x^2 -x +27 \)
\(y= -10 x +9 \)
[ \(x= -6, y=69 \)
\( x=-3, y=39\)]

Q3) solve
\( y= x^2 -4 x +46 \)
\(y= -19 x -4 \)
[ \(x= -10, y=186 \) or \( x=-5, y=91\)]

Q3) Solve
\( y= x^2 +18 x +20 \)
\(y= 8 x -4 \)
[ \(x= -6, y=-52 \)
\( x=-4, y=-36\)]

Q3) Solve
\( y= x^2 +8 x +28 \)
\(y= -4 x +8 \)
[ \(x= -2, y=16 \)
\( x=-10, y=48\)]

Q4) solve
\( y= x^2 +31x +52 \)
\(y= 18 x +12 \)
[ \(x= -5, y=-78 \) or \( x=-8, y=-132\)]

Q4) Solve
\( y= x^2 +5 x +35 \)
\(y= -7 x +8 \)
[ \(x= -3, y=29 \)
\( x=-9, y=71\)]

Q4) Solve
\( y= x^2 +8 x +3 \)
\(y= 2 x -5 \)
[ \(x= -4, y=-13 \)
\( x=-2, y=-9\)]

Q5) solve
\( y= x^2 +20 x -18 \)
\(y= 18 x -19 \)
[ \(x= -1, y=-37 \) or \( x=-1, y=-37\)]

Q5) Solve
\( y= x^2 +10 x +28 \)
\(y= -2 x -7 \)
[ \(x= -5, y=3 \)
\( x=-7, y=7\)]

Q5) Solve
\( y= x^2 -x +21 \)
\(y= -10 x +3 \)
[ \(x= -6, y=63 \)
\( x=-3, y=33\)]

Q6) solve
\( y= x^2 +23 x +0 \)
\(y= 20 x -2 \)
[ \(x= -2, y=-42 \) or \( x=-1, y=-22\)]

Q6) Solve
\( y= x^2 -3 x -7 \)
\(y= -5 x -8 \)
[ \(x= -1, y=-3 \)
\( x=-1, y=-3\)]

Q6) Solve
\( y= x^2 +23 x +53 \)
\(y= 8 x -3 \)
[ \(x= -7, y=-59 \)
\( x=-8, y=-67\)]

Q7) solve
\( y= x^2 +14 x +33 \)
\(y= 2 x +13 \)
[ \(x= -10, y=-7 \) or \( x=-2, y=9\)]

Q7) Solve
\( y= x^2 +3 x +46 \)
\(y= -9 x +10 \)
[ \(x= -6, y=64 \)
\( x=-6, y=64\)]

Q7) Solve
\( y= x^2 +14 x +0 \)
\(y= 7 x -6 \)
[ \(x= -6, y=-48 \)
\( x=-1, y=-13\)]

Q8) solve
\( y= x^2 +13 x +24 \)
\(y= 8 x +20 \)
[ \(x= -4, y=-12 \) or \( x=-1, y=12\)]

Q8) Solve
\( y= x^2 +6 x +42 \)
\(y= -8 x -7 \)
[ \(x= -7, y=49 \)
\( x=-7, y=49\)]

Q8) Solve
\( y= x^2 +19 x +26 \)
\(y= 8 x -2 \)
[ \(x= -4, y=-34 \)
\( x=-7, y=-58\)]

Q9) solve
\( y= x^2 +5 x +29 \)
\(y= -9 x -19 \)
[ \(x= -8, y=53 \) or \( x=-6, y=35\)]

Q9) Solve
\( y= x^2 +7 x +28 \)
\(y= -5 x -8 \)
[ \(x= -6, y=22 \)
\( x=-6, y=22\)]

Q9) Solve
\( y= x^2 +9 x +71 \)
\(y= -9 x -9 \)
[ \(x= -8, y=63 \)
\( x=-10, y=81\)]

Q10) solve
\( y= x^2 +11x +8 \)
\(y= 4 x -2 \)
[ \(x= -5, y=-22 \) or \( x=-2, y=-10\)]

Q10) Solve
\( y= x^2 +4 x +15 \)
\(y= -3 x +5 \)
[ \(x= -2, y=11 \)
\( x=-5, y=20\)]

Q10) Solve
\( y= x^2 +16 x +4 \)
\(y= 10 x -4 \)
[ \(x= -4, y=-44 \)
\( x=-2, y=-24\)]