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
\( y= x^2 +10 x +47 \)
\(y= -4 x +7 \)
[ \(x= -10, y=47 \)
\( x=-4, y=23\)]

Q1) Solve
\( y= x^2 +21x +12 \)
\(y= 9 x -8 \)
[ \(x= -2, y=-26 \)
\( x=-10, y=-98\)]

Q2) solve
\( y= x^2 +2 x +50 \)
\(y= -15 x -20 \)
[ \(x= -7, y=85 \) or \( x=-10, y=130\)]

Q2) Solve
\( y= x^2 +15 x +12 \)
\(y= 9 x +3 \)
[ \(x= -3, y=-24 \)
\( x=-3, y=-24\)]

Q2) Solve
\( y= x^2 -2 x -3 \)
\(y= -7 x -9 \)
[ \(x= -2, y=5 \)
\( x=-3, y=12\)]

Q3) solve
\( y= x^2 +8 x +6 \)
\(y= x -6 \)
[ \(x= -4, y=-10 \) or \( x=-3, y=-9\)]

Q3) Solve
\( y= x^2 +2 x +8 \)
\(y= -8 x -8 \)
[ \(x= -8, y=56 \)
\( x=-2, y=8\)]

Q3) Solve
\( y= x^2 +13 x +51 \)
\(y= -2 x -3 \)
[ \(x= -6, y=9 \)
\( x=-9, y=15\)]

Q4) solve
\( y= x^2 +6 x +11 \)
\(y= -5 x -19 \)
[ \(x= -6, y=11 \) or \( x=-5, y=6\)]

Q4) Solve
\( y= x^2 -x +10 \)
\(y= -10 x -8 \)
[ \(x= -6, y=52 \)
\( x=-3, y=22\)]

Q4) Solve
\( y= x^2 +10 x +21 \)
\(y= 2 x +6 \)
[ \(x= -3, y=0 \)
\( x=-5, y=-4\)]

Q5) solve
\( y= x^2 +21x +101 \)
\(y= 3 x +20 \)
[ \(x= -9, y=-7 \) or \( x=-9, y=-7\)]

Q5) Solve
\( y= x^2 +2 x +12 \)
\(y= -3 x +6 \)
[ \(x= -2, y=12 \)
\( x=-3, y=15\)]

Q5) Solve
\( y= x^2 +17 x +63 \)
\(y= 2 x +7 \)
[ \(x= -7, y=-7 \)
\( x=-8, y=-9\)]

Q6) solve
\( y= x^2 +12 x +8 \)
\(y= x -2 \)
[ \(x= -1, y=-3 \) or \( x=-10, y=-12\)]

Q6) Solve
\( y= x^2 -5 x +7 \)
\(y= -8 x +5 \)
[ \(x= -2, y=21 \)
\( x=-1, y=13\)]

Q6) Solve
\( y= x^2 +16 x +11 \)
\(y= 7 x -9 \)
[ \(x= -5, y=-44 \)
\( x=-4, y=-37\)]

Q7) solve
\( y= x^2 +12 x +10 \)
\(y= -x -20 \)
[ \(x= -3, y=-17 \) or \( x=-10, y=-10\)]

Q7) Solve
\( y= x^2 +10 x +18 \)
\(y= 3 x +8 \)
[ \(x= -2, y=2 \)
\( x=-5, y=-7\)]

Q7) Solve
\( y= x^2 +21x +61 \)
\(y= 5 x -2 \)
[ \(x= -9, y=-47 \)
\( x=-7, y=-37\)]

Q8) solve
\( y= x^2 +14 x +53 \)
\(y= -2 x -10 \)
[ \(x= -9, y=8 \) or \( x=-7, y=4\)]

Q8) Solve
\( y= x^2 -2 x +21 \)
\(y= -10 x +5 \)
[ \(x= -4, y=45 \)
\( x=-4, y=45\)]

Q8) Solve
\( y= x^2 +0 x +5 \)
\(y= -8 x -7 \)
[ \(x= -2, y=9 \)
\( x=-6, y=41\)]

Q9) solve
\( y= x^2 +10 x +0 \)
\(y= 3 x -10 \)
[ \(x= -2, y=-16 \) or \( x=-5, y=-25\)]

Q9) Solve
\( y= x^2 +2 x -4 \)
\(y= -2 x -7 \)
[ \(x= -1, y=-5 \)
\( x=-3, y=-1\)]

Q9) Solve
\( y= x^2 +15 x +21 \)
\(y= 7 x +6 \)
[ \(x= -5, y=-29 \)
\( x=-3, y=-15\)]

Q10) solve
\( y= x^2 +24 x +52 \)
\(y= 11x +16 \)
[ \(x= -4, y=-28 \) or \( x=-9, y=-83\)]

Q10) Solve
\( y= x^2 +18 x +21 \)
\(y= 9 x +3 \)
[ \(x= -3, y=-24 \)
\( x=-6, y=-51\)]

Q10) Solve
\( y= x^2 +20 x +78 \)
\(y= 2 x -3 \)
[ \(x= -9, y=-21 \)
\( x=-9, y=-21\)]