Mr Daniels Maths
Solving Quadratic Simultaneous Equations

Set 1

Set 2

Set 3

Q1) solve
\( y= x^2 +23 x +25 \)
\(y= 11x -2 \)
[ \(x= -9, y=-101 \) or \( x=-3, y=-35\)]

Q1) Solve
\( y= x^2 +5 x +24 \)
\(y= -5 x +3 \)
[ \(x= -3, y=18 \)
\( x=-7, y=38\)]

Q1) Solve
\( y= x^2 -x +14 \)
\(y= -10 x -4 \)
[ \(x= -6, y=56 \)
\( x=-3, y=26\)]

Q2) solve
\( y= x^2 +31x +51 \)
\(y= 16 x -5 \)
[ \(x= -7, y=-117 \) or \( x=-8, y=-133\)]

Q2) Solve
\( y= x^2 +13 x +41 \)
\(y= -2 x -9 \)
[ \(x= -10, y=11 \)
\( x=-5, y=1\)]

Q2) Solve
\( y= x^2 +16 x +42 \)
\(y= 4 x +7 \)
[ \(x= -7, y=-21 \)
\( x=-5, y=-13\)]

Q3) solve
\( y= x^2 +17 x +28 \)
\(y= 3 x -17 \)
[ \(x= -5, y=-32 \) or \( x=-9, y=-44\)]

Q3) Solve
\( y= x^2 +15 x +33 \)
\(y= 4 x +3 \)
[ \(x= -5, y=-17 \)
\( x=-6, y=-21\)]

Q3) Solve
\( y= x^2 -2 x -2 \)
\(y= -8 x -10 \)
[ \(x= -2, y=6 \)
\( x=-4, y=22\)]

Q4) solve
\( y= x^2 +0 x +14 \)
\(y= -10 x -10 \)
[ \(x= -4, y=30 \) or \( x=-6, y=50\)]

Q4) Solve
\( y= x^2 +4 x +13 \)
\(y= -6 x -3 \)
[ \(x= -2, y=9 \)
\( x=-8, y=45\)]

Q4) Solve
\( y= x^2 +13 x +1 \)
\(y= 6 x -5 \)
[ \(x= -6, y=-41 \)
\( x=-1, y=-11\)]

Q5) solve
\( y= x^2 +17 x -7 \)
\(y= 6 x -17 \)
[ \(x= -10, y=-77 \) or \( x=-1, y=-23\)]

Q5) Solve
\( y= x^2 +4 x +34 \)
\(y= -6 x +9 \)
[ \(x= -5, y=39 \)
\( x=-5, y=39\)]

Q5) Solve
\( y= x^2 +14 x +99 \)
\(y= -5 x +9 \)
[ \(x= -10, y=59 \)
\( x=-9, y=54\)]

Q6) solve
\( y= x^2 +19 x +81 \)
\(y= 2 x +9 \)
[ \(x= -9, y=-9 \) or \( x=-8, y=-7\)]

Q6) Solve
\( y= x^2 +27 x +78 \)
\(y= 9 x -2 \)
[ \(x= -8, y=-74 \)
\( x=-10, y=-92\)]

Q6) Solve
\( y= x^2 -6 x -6 \)
\(y= -10 x -9 \)
[ \(x= -1, y=1 \)
\( x=-3, y=21\)]

Q7) solve
\( y= x^2 +12 x -5 \)
\(y= 6 x -14 \)
[ \(x= -3, y=-32 \) or \( x=-3, y=-32\)]

Q7) Solve
\( y= x^2 +x -6 \)
\(y= -3 x -10 \)
[ \(x= -2, y=-4 \)
\( x=-2, y=-4\)]

Q7) Solve
\( y= x^2 -3 x +11 \)
\(y= -8 x +7 \)
[ \(x= -4, y=39 \)
\( x=-1, y=15\)]

Q8) solve
\( y= x^2 +11x +71 \)
\(y= -7 x -9 \)
[ \(x= -10, y=61 \) or \( x=-8, y=47\)]

Q8) Solve
\( y= x^2 +18 x +46 \)
\(y= 4 x +6 \)
[ \(x= -4, y=-10 \)
\( x=-10, y=-34\)]

Q8) Solve
\( y= x^2 +3 x +19 \)
\(y= -7 x -2 \)
[ \(x= -7, y=47 \)
\( x=-3, y=19\)]

Q9) solve
\( y= x^2 +17 x +21 \)
\(y= 6 x -9 \)
[ \(x= -5, y=-39 \) or \( x=-6, y=-45\)]

Q9) Solve
\( y= x^2 +2 x +26 \)
\(y= -8 x +5 \)
[ \(x= -3, y=29 \)
\( x=-7, y=61\)]

Q9) Solve
\( y= x^2 +2 x +34 \)
\(y= -10 x +7 \)
[ \(x= -9, y=97 \)
\( x=-3, y=37\)]

Q10) solve
\( y= x^2 +17 x -9 \)
\(y= 11x -17 \)
[ \(x= -2, y=-39 \) or \( x=-4, y=-61\)]

Q10) Solve
\( y= x^2 +11x +33 \)
\(y= -3 x -7 \)
[ \(x= -10, y=23 \)
\( x=-4, y=5\)]

Q10) Solve
\( y= x^2 +15 x +34 \)
\(y= 4 x +10 \)
[ \(x= -8, y=-22 \)
\( x=-3, y=-2\)]