Page 89 - Mathematics_Form_Two

Algebra

3. Use the quadratic formula to solve
(f) 7x − 2 3x = 0
each of the following equations:
(g) x + 2 3x − 40 0= (a) 4x − 4x +=
2
10
2
60
(h) 3x − 7x −=
2
(b) 5x + 12x + 3 0=
(i) 12x + 13x +=
2
3 0
FOR ONLINE READING ONLY
(c) (3x − 2 )(2x − ) 5 = 5xx ) 2
( −
2
(j) x + 3x + 2 = 0
(d) 3x = 4x +
2
4
(k) x 2 – 10x + 24 = 0
(e) 2x − 5x +=
2
20
(l) 2x −− 60=
x
2
2
x
(m) 3x + 29x= 2 (f) 5x −− 18 0= Mathematics for Secondary Schools
(n) − 3x + 2 11x − 10 0= 4. A man is 4 times as old as his son. In
2
(o) 4x = 25 4 years to come the product of their
ages will be 520. Find the son’s
(p) y − 2 36 0= present age.
2
(q) ( – 8x ) = 36 5. Sada has 1 800 shillings to buy
(r) 4x = 20x − 25 pencils. There are two types of
2
(s) 9y − 6y += pencils whose prices differ by 40
10
2
shillings. If she buy the cheaper type
(t) (x + ) 3 − 2 49 0= she will get 12 more pencils than if
she buy the expensive type. What
2. Solve each of the following are the prices of the two types of
quadratic equations by completing pencils?
the square:
(a) x + 6x + 7 = 0 6. Find two consecutive numbers such
2
that the sum of their squares is equal
1 0
2
(b) x − 11x += to 145.
(c) x = 7x − 7 7. A picture measures 12 cm by 9 cm and
2
is surrounded by a frame whose area
(d) 2x − 10x += 0 is 100 square centimetres. Find the
2
7
value of x as shown in the following
(e) m + 2 5m = 1
figure.
5 0
2
(f) p − 10p +=
x
(g) 2b = 8b + 11 12 cm
2
x x
(h) 3a − 2 12a = 2 9 cm
(i) 5n = 20n + 28
2
x
(j) c − 2 8c + 13 0=

83
Student's Book Form Two

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MATHEMATIC F2 v5.indd 83 11/10/2024 20:12:09
MATHEMATIC F2 v5.indd 83