Mr Daniels Maths
Solving Quadratic Simultaneous Equations

Set 1

Set 2

Set 3

Q1) solve
\( y= x^2 +19 x +32 \)
\(y= 7 x +12 \)
[ \(x= -10, y=-58 \) or \( x=-2, y=-2\)]

Q1) Solve
\( y= x^2 +10 x +77 \)
\(y= -7 x +7 \)
[ \(x= -7, y=56 \)
\( x=-10, y=77\)]

Q1) Solve
\( y= x^2 +25 x +61 \)
\(y= 10 x +7 \)
[ \(x= -9, y=-83 \)
\( x=-6, y=-53\)]

Q2) solve
\( y= x^2 -2 x +36 \)
\(y= -11x +18 \)
[ \(x= -3, y=51 \) or \( x=-6, y=84\)]

Q2) Solve
\( y= x^2 +13 x +27 \)
\(y= 3 x +6 \)
[ \(x= -7, y=-15 \)
\( x=-3, y=-3\)]

Q2) Solve
\( y= x^2 +13 x +12 \)
\(y= 3 x +3 \)
[ \(x= -9, y=-24 \)
\( x=-1, y=0\)]

Q3) solve
\( y= x^2 +29 x +65 \)
\(y= 13 x +5 \)
[ \(x= -6, y=-73 \) or \( x=-10, y=-125\)]

Q3) Solve
\( y= x^2 +11x +8 \)
\(y= 4 x -2 \)
[ \(x= -5, y=-22 \)
\( x=-2, y=-10\)]

Q3) Solve
\( y= x^2 +4 x +17 \)
\(y= -8 x -10 \)
[ \(x= -9, y=62 \)
\( x=-3, y=14\)]

Q4) solve
\( y= x^2 +4 x +46 \)
\(y= -9 x +16 \)
[ \(x= -10, y=106 \) or \( x=-3, y=43\)]

Q4) Solve
\( y= x^2 +11x +7 \)
\(y= 7 x +4 \)
[ \(x= -1, y=-3 \)
\( x=-3, y=-17\)]

Q4) Solve
\( y= x^2 +7 x +67 \)
\(y= -10 x -5 \)
[ \(x= -9, y=85 \)
\( x=-8, y=75\)]

Q5) solve
\( y= x^2 +15 x -1 \)
\(y= 7 x -16 \)
[ \(x= -5, y=-51 \) or \( x=-3, y=-37\)]

Q5) Solve
\( y= x^2 +11x +54 \)
\(y= -3 x +6 \)
[ \(x= -8, y=30 \)
\( x=-6, y=24\)]

Q5) Solve
\( y= x^2 +7 x +10 \)
\(y= 2 x +6 \)
[ \(x= -4, y=-2 \)
\( x=-1, y=4\)]

Q6) solve
\( y= x^2 +x +45 \)
\(y= -10 x +17 \)
[ \(x= -4, y=57 \) or \( x=-7, y=87\)]

Q6) Solve
\( y= x^2 +3 x +52 \)
\(y= -10 x +10 \)
[ \(x= -7, y=80 \)
\( x=-6, y=70\)]

Q6) Solve
\( y= x^2 +13 x +16 \)
\(y= 6 x +4 \)
[ \(x= -4, y=-20 \)
\( x=-3, y=-14\)]

Q7) solve
\( y= x^2 +19 x +17 \)
\(y= 9 x -4 \)
[ \(x= -3, y=-31 \) or \( x=-7, y=-67\)]

Q7) Solve
\( y= x^2 +20 x +53 \)
\(y= 6 x +8 \)
[ \(x= -5, y=-22 \)
\( x=-9, y=-46\)]

Q7) Solve
\( y= x^2 +10 x +32 \)
\(y= -3 x -4 \)
[ \(x= -9, y=23 \)
\( x=-4, y=8\)]

Q8) solve
\( y= x^2 +21x +92 \)
\(y= 2 x +2 \)
[ \(x= -9, y=-16 \) or \( x=-10, y=-18\)]

Q8) Solve
\( y= x^2 +13 x +8 \)
\(y= 4 x -6 \)
[ \(x= -2, y=-14 \)
\( x=-7, y=-34\)]

Q8) Solve
\( y= x^2 +19 x +5 \)
\(y= 10 x -9 \)
[ \(x= -2, y=-29 \)
\( x=-7, y=-79\)]

Q9) solve
\( y= x^2 +13 x +25 \)
\(y= x -2 \)
[ \(x= -3, y=-5 \) or \( x=-9, y=-11\)]

Q9) Solve
\( y= x^2 +6 x +29 \)
\(y= -3 x +9 \)
[ \(x= -4, y=21 \)
\( x=-5, y=24\)]

Q9) Solve
\( y= x^2 +11x +6 \)
\(y= 9 x +5 \)
[ \(x= -1, y=-4 \)
\( x=-1, y=-4\)]

Q10) solve
\( y= x^2 +11x +30 \)
\(y= 2 x +10 \)
[ \(x= -5, y=0 \) or \( x=-4, y=2\)]

Q10) Solve
\( y= x^2 +4 x +30 \)
\(y= -5 x +10 \)
[ \(x= -4, y=30 \)
\( x=-5, y=35\)]

Q10) Solve
\( y= x^2 -x +14 \)
\(y= -10 x -6 \)
[ \(x= -4, y=34 \)
\( x=-5, y=44\)]