Mr Daniels Maths
Solving Quadratic Simultaneous Equations

Set 1

Set 2

Set 3

Q1) solve
\( y= x^2 +12 x +30 \)
\(y= x +6 \)
[ \(x= -8, y=-2 \) or \( x=-3, y=3\)]

Q1) Solve
\( y= x^2 +2 x +12 \)
\(y= -3 x +6 \)
[ \(x= -2, y=12 \)
\( x=-3, y=15\)]

Q1) Solve
\( y= x^2 +15 x +21 \)
\(y= 7 x +6 \)
[ \(x= -5, y=-29 \)
\( x=-3, y=-15\)]

Q2) solve
\( y= x^2 +10 x +0 \)
\(y= 3 x -10 \)
[ \(x= -2, y=-16 \) or \( x=-5, y=-25\)]

Q2) Solve
\( y= x^2 +8 x +23 \)
\(y= -2 x +7 \)
[ \(x= -8, y=23 \)
\( x=-2, y=11\)]

Q2) Solve
\( y= x^2 +2 x +19 \)
\(y= -10 x -8 \)
[ \(x= -3, y=22 \)
\( x=-9, y=82\)]

Q3) solve
\( y= x^2 +6 x +11 \)
\(y= -5 x -19 \)
[ \(x= -6, y=11 \) or \( x=-5, y=6\)]

Q3) Solve
\( y= x^2 +11x +15 \)
\(y= 4 x +3 \)
[ \(x= -4, y=-13 \)
\( x=-3, y=-9\)]

Q3) Solve
\( y= x^2 +7 x +9 \)
\(y= 3 x +6 \)
[ \(x= -1, y=3 \)
\( x=-3, y=-3\)]

Q4) solve
\( y= x^2 +23 x +34 \)
\(y= 14 x +20 \)
[ \(x= -2, y=-8 \) or \( x=-7, y=-78\)]

Q4) Solve
\( y= x^2 -x +9 \)
\(y= -5 x +6 \)
[ \(x= -1, y=11 \)
\( x=-3, y=21\)]

Q4) Solve
\( y= x^2 +2 x +35 \)
\(y= -10 x +8 \)
[ \(x= -3, y=38 \)
\( x=-9, y=98\)]

Q5) solve
\( y= x^2 +21x +31 \)
\(y= 8 x +1 \)
[ \(x= -10, y=-79 \) or \( x=-3, y=-23\)]

Q5) Solve
\( y= x^2 +4 x +46 \)
\(y= -9 x +10 \)
[ \(x= -4, y=46 \)
\( x=-9, y=91\)]

Q5) Solve
\( y= x^2 +17 x +27 \)
\(y= 5 x -5 \)
[ \(x= -4, y=-25 \)
\( x=-8, y=-45\)]

Q6) solve
\( y= x^2 -4 x +18 \)
\(y= -13 x -2 \)
[ \(x= -4, y=50 \) or \( x=-5, y=63\)]

Q6) Solve
\( y= x^2 +21x +23 \)
\(y= 9 x -4 \)
[ \(x= -3, y=-31 \)
\( x=-9, y=-85\)]

Q6) Solve
\( y= x^2 +19 x +3 \)
\(y= 8 x -7 \)
[ \(x= -1, y=-15 \)
\( x=-10, y=-87\)]

Q7) solve
\( y= x^2 +18 x +67 \)
\(y= 3 x +13 \)
[ \(x= -9, y=-14 \) or \( x=-6, y=-5\)]

Q7) Solve
\( y= x^2 +16 x +13 \)
\(y= 6 x -8 \)
[ \(x= -3, y=-26 \)
\( x=-7, y=-50\)]

Q7) Solve
\( y= x^2 +16 x +11 \)
\(y= 7 x -9 \)
[ \(x= -5, y=-44 \)
\( x=-4, y=-37\)]

Q8) solve
\( y= x^2 +20 x +19 \)
\(y= 12 x +7 \)
[ \(x= -2, y=-17 \) or \( x=-6, y=-65\)]

Q8) Solve
\( y= x^2 +11x +81 \)
\(y= -6 x +9 \)
[ \(x= -9, y=63 \)
\( x=-8, y=57\)]

Q8) Solve
\( y= x^2 +9 x +16 \)
\(y= -2 x -8 \)
[ \(x= -3, y=-2 \)
\( x=-8, y=8\)]

Q9) solve
\( y= x^2 +24 x +52 \)
\(y= 11x +16 \)
[ \(x= -4, y=-28 \) or \( x=-9, y=-83\)]

Q9) Solve
\( y= x^2 +25 x +87 \)
\(y= 7 x +7 \)
[ \(x= -10, y=-63 \)
\( x=-8, y=-49\)]

Q9) Solve
\( y= x^2 -2 x +16 \)
\(y= -9 x +4 \)
[ \(x= -3, y=31 \)
\( x=-4, y=40\)]

Q10) solve
\( y= x^2 +11x +23 \)
\(y= 2 x +15 \)
[ \(x= -1, y=13 \) or \( x=-8, y=-1\)]

Q10) Solve
\( y= x^2 +2 x +33 \)
\(y= -9 x +9 \)
[ \(x= -3, y=36 \)
\( x=-8, y=81\)]

Q10) Solve
\( y= x^2 +5 x +17 \)
\(y= -4 x +9 \)
[ \(x= -1, y=13 \)
\( x=-8, y=41\)]