Mr Daniels Maths
Solving Quadratic Simultaneous Equations

Set 1

Set 2

Set 3

Q1) solve
\( y= x^2 -4 x +18 \)
\(y= -13 x -2 \)
[ \(x= -4, y=50 \) or \( x=-5, y=63\)]

Q1) Solve
\( y= x^2 +16 x +13 \)
\(y= 6 x -8 \)
[ \(x= -3, y=-26 \)
\( x=-7, y=-50\)]

Q1) Solve
\( y= x^2 +2 x +19 \)
\(y= -10 x -8 \)
[ \(x= -3, y=22 \)
\( x=-9, y=82\)]

Q2) solve
\( y= x^2 -x +24 \)
\(y= -8 x +18 \)
[ \(x= -6, y=66 \) or \( x=-1, y=26\)]

Q2) Solve
\( y= x^2 -x +10 \)
\(y= -10 x -8 \)
[ \(x= -6, y=52 \)
\( x=-3, y=22\)]

Q2) Solve
\( y= x^2 +21x +12 \)
\(y= 9 x -8 \)
[ \(x= -2, y=-26 \)
\( x=-10, y=-98\)]

Q3) solve
\( y= x^2 +25 x +41 \)
\(y= 15 x +20 \)
[ \(x= -3, y=-25 \) or \( x=-7, y=-85\)]

Q3) Solve
\( y= x^2 +9 x +52 \)
\(y= -5 x +4 \)
[ \(x= -8, y=44 \)
\( x=-6, y=34\)]

Q3) Solve
\( y= x^2 +14 x +16 \)
\(y= 2 x -4 \)
[ \(x= -2, y=-8 \)
\( x=-10, y=-24\)]

Q4) solve
\( y= x^2 +10 x +0 \)
\(y= 3 x -10 \)
[ \(x= -2, y=-16 \) or \( x=-5, y=-25\)]

Q4) Solve
\( y= x^2 +6 x +8 \)
\(y= 2 x +5 \)
[ \(x= -3, y=-1 \)
\( x=-1, y=3\)]

Q4) Solve
\( y= x^2 +2 x +12 \)
\(y= -8 x +3 \)
[ \(x= -9, y=75 \)
\( x=-1, y=11\)]

Q5) solve
\( y= x^2 +29 x +19 \)
\(y= 16 x -17 \)
[ \(x= -4, y=-81 \) or \( x=-9, y=-161\)]

Q5) Solve
\( y= x^2 +2 x -5 \)
\(y= -4 x -10 \)
[ \(x= -1, y=-6 \)
\( x=-5, y=10\)]

Q5) Solve
\( y= x^2 +10 x +32 \)
\(y= -3 x -10 \)
[ \(x= -6, y=8 \)
\( x=-7, y=11\)]

Q6) solve
\( y= x^2 -5 x +58 \)
\(y= -19 x +10 \)
[ \(x= -8, y=162 \) or \( x=-6, y=124\)]

Q6) Solve
\( y= x^2 +15 x +12 \)
\(y= 9 x +3 \)
[ \(x= -3, y=-24 \)
\( x=-3, y=-24\)]

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

Q7) solve
\( y= x^2 -3 x +29 \)
\(y= -15 x -3 \)
[ \(x= -4, y=57 \) or \( x=-8, y=117\)]

Q7) Solve
\( y= x^2 +18 x +21 \)
\(y= 9 x +3 \)
[ \(x= -3, y=-24 \)
\( x=-6, y=-51\)]

Q7) Solve
\( y= x^2 +10 x +71 \)
\(y= -6 x +8 \)
[ \(x= -9, y=62 \)
\( x=-7, y=50\)]

Q8) solve
\( y= x^2 -4 x +55 \)
\(y= -17 x +13 \)
[ \(x= -7, y=132 \) or \( x=-6, y=115\)]

Q8) Solve
\( y= x^2 +5 x -2 \)
\(y= 3 x -3 \)
[ \(x= -1, y=-6 \)
\( x=-1, y=-6\)]

Q8) Solve
\( y= x^2 +17 x +63 \)
\(y= 2 x +7 \)
[ \(x= -7, y=-7 \)
\( x=-8, y=-9\)]

Q9) solve
\( y= x^2 +0 x +47 \)
\(y= -15 x -3 \)
[ \(x= -5, y=72 \) or \( x=-10, y=147\)]

Q9) Solve
\( y= x^2 +3 x +1 \)
\(y= -2 x -3 \)
[ \(x= -1, y=-1 \)
\( x=-4, y=5\)]

Q9) Solve
\( y= x^2 +6 x +7 \)
\(y= -5 x -3 \)
[ \(x= -1, y=2 \)
\( x=-10, y=47\)]

Q10) solve
\( y= x^2 +x -9 \)
\(y= -5 x -18 \)
[ \(x= -3, y=-3 \) or \( x=-3, y=-3\)]

Q10) Solve
\( y= x^2 +0 x +10 \)
\(y= -4 x +7 \)
[ \(x= -3, y=19 \)
\( x=-1, y=11\)]

Q10) Solve
\( y= x^2 -4 x -1 \)
\(y= -9 x -5 \)
[ \(x= -4, y=31 \)
\( x=-1, y=4\)]