IGCSE Mathematics – Quadratic formula
1. Solve for x
a) x2 – 2x – 6 = 0
b) 2x2 + 3x – 6 = 0
2. Solve the equation
a) 2x2 + 7x + 3 = 0
b) y2 = 2y + 1
3. Use the formula to solve the equations
a) 5x2 + 9x + 2 = 0
b) y2 = 4y + 1
4. Solve the quadratic equations using the fomula
a) n2 = n – 3
b) x2 – 6x – 21 = 0
c) t2 + t – 3 = 0
5. Solve the following quadratic equations. Give your answers to 2 d. p.
a) a2 – a – 13 = 0
b) b2 + 4b – 11 = 0
c) c2 + 5 c – 7 = 0
d) d2 + 5d – 13 = 0
e) e2 − 9e + 19 = 0
f) f2 + 7f + 9 = 0
g) g2 – 35 = 0
h) h2 + 3h – 3 = 0
i) i2 – 5i – 7 = 0
j) 2j2 +2j – 18 = 0
k) 4k2 + 2k – 5 = 0
l) 2l2 – 3l – 4 = 0
m) 5m2 – 8m + 1 = 0 n) 2n2 + 5n – 2 = 0
p) 3p2 – 4p – 2 = 0
q) 3q2 + q – 1 = 0
s) (2s + 5)2 = 49
r) -7r2 – r + 15 = 0
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