Mr Daniels Maths
Solving Quadratic Simultaneous Equations

Set 1

Set 2

Set 3

Q1) solve
\( y= x^2 +18 x +59 \)
\(y= 2 x -5 \)
[ \(x= -8, y=-21 \) or \( x=-8, y=-21\)]

Q1) Solve
\( y= x^2 +13 x +0 \)
\(y= 2 x -10 \)
[ \(x= -1, y=-12 \)
\( x=-10, y=-30\)]

Q1) Solve
\( y= x^2 +20 x +42 \)
\(y= 8 x +7 \)
[ \(x= -7, y=-49 \)
\( x=-5, y=-33\)]

Q2) solve
\( y= x^2 -8 x +32 \)
\(y= -19 x +4 \)
[ \(x= -7, y=137 \) or \( x=-4, y=80\)]

Q2) Solve
\( y= x^2 +13 x +26 \)
\(y= 2 x +2 \)
[ \(x= -8, y=-14 \)
\( x=-3, y=-4\)]

Q2) Solve
\( y= x^2 +26 x +67 \)
\(y= 9 x -3 \)
[ \(x= -7, y=-66 \)
\( x=-10, y=-93\)]

Q3) solve
\( y= x^2 +0 x +86 \)
\(y= -19 x -4 \)
[ \(x= -9, y=167 \) or \( x=-10, y=186\)]

Q3) Solve
\( y= x^2 +8 x -1 \)
\(y= -2 x -10 \)
[ \(x= -1, y=-8 \)
\( x=-9, y=8\)]

Q3) Solve
\( y= x^2 +x +25 \)
\(y= -10 x -5 \)
[ \(x= -6, y=55 \)
\( x=-5, y=45\)]

Q4) solve
\( y= x^2 +25 x +0 \)
\(y= 18 x -12 \)
[ \(x= -4, y=-84 \) or \( x=-3, y=-66\)]

Q4) Solve
\( y= x^2 +9 x +25 \)
\(y= -3 x -7 \)
[ \(x= -4, y=5 \)
\( x=-8, y=17\)]

Q4) Solve
\( y= x^2 +6 x +15 \)
\(y= -2 x +8 \)
[ \(x= -1, y=10 \)
\( x=-7, y=22\)]

Q5) solve
\( y= x^2 +24 x -2 \)
\(y= 17 x -14 \)
[ \(x= -4, y=-82 \) or \( x=-3, y=-65\)]

Q5) Solve
\( y= x^2 +26 x +66 \)
\(y= 9 x -6 \)
[ \(x= -9, y=-87 \)
\( x=-8, y=-78\)]

Q5) Solve
\( y= x^2 +11x +49 \)
\(y= -4 x -5 \)
[ \(x= -9, y=31 \)
\( x=-6, y=19\)]

Q6) solve
\( y= x^2 +22 x +66 \)
\(y= 8 x +17 \)
[ \(x= -7, y=-39 \) or \( x=-7, y=-39\)]

Q6) Solve
\( y= x^2 +13 x +11 \)
\(y= 8 x +7 \)
[ \(x= -4, y=-25 \)
\( x=-1, y=-1\)]

Q6) Solve
\( y= x^2 -x +14 \)
\(y= -7 x +9 \)
[ \(x= -1, y=16 \)
\( x=-5, y=44\)]

Q7) solve
\( y= x^2 +27 x +41 \)
\(y= 14 x -1 \)
[ \(x= -6, y=-85 \) or \( x=-7, y=-99\)]

Q7) Solve
\( y= x^2 +18 x +106 \)
\(y= -2 x +6 \)
[ \(x= -10, y=26 \)
\( x=-10, y=26\)]

Q7) Solve
\( y= x^2 +6 x +53 \)
\(y= -10 x -7 \)
[ \(x= -6, y=53 \)
\( x=-10, y=93\)]

Q8) solve
\( y= x^2 +5 x +33 \)
\(y= -8 x -9 \)
[ \(x= -6, y=39 \) or \( x=-7, y=47\)]

Q8) Solve
\( y= x^2 +8 x +14 \)
\(y= 3 x +8 \)
[ \(x= -3, y=-1 \)
\( x=-2, y=2\)]

Q8) Solve
\( y= x^2 +12 x +12 \)
\(y= 3 x +4 \)
[ \(x= -8, y=-20 \)
\( x=-1, y=1\)]

Q9) solve
\( y= x^2 +10 x +59 \)
\(y= -4 x +14 \)
[ \(x= -5, y=34 \) or \( x=-9, y=50\)]

Q9) Solve
\( y= x^2 +22 x +63 \)
\(y= 5 x -9 \)
[ \(x= -8, y=-49 \)
\( x=-9, y=-54\)]

Q9) Solve
\( y= x^2 +11x +2 \)
\(y= 6 x -4 \)
[ \(x= -2, y=-16 \)
\( x=-3, y=-22\)]

Q10) solve
\( y= x^2 +22 x +23 \)
\(y= 11x -5 \)
[ \(x= -7, y=-82 \) or \( x=-4, y=-49\)]

Q10) Solve
\( y= x^2 -3 x +13 \)
\(y= -10 x +7 \)
[ \(x= -1, y=17 \)
\( x=-6, y=67\)]

Q10) Solve
\( y= x^2 +24 x +64 \)
\(y= 9 x +8 \)
[ \(x= -7, y=-55 \)
\( x=-8, y=-64\)]