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WAEC Mathematics Past Questions & Answers - Page 318

1,586.

Solve the equation 2a2 - 3a - 27 = 0

A.

3/2, 9

B.

-2/3, 9

C.

3, 9/2

D.

-3, -9/2

E.

-3, 9/2

Correct answer is E

2a2 - 3a - 27 = 0

2a2 - 9a + 6a - 27 = 0

a(2a - 9) + 3(2a - 9) = 0

(a + 3)(2a - 9) = 0

a = -3 or a = 92

1,587.

Find the value of m which makes x2 + 8 + m a perfect square

A.

2

B.

4

C.

8

D.

12

E.

16

Correct answer is E

x2 + 8 + m

To make it a perfect square, we add (b2)2

= (82)2

= 16

1,588.

Solve the equation 7y2 = 3y

A.

y = 3 or 7

B.

y = 0 or 7

C.

y = 0 or 3/7

D.

y = 0 or 9

E.

y = 0 or 10

Correct answer is C

7y2 = 3y

7y2 - 3y = 0

y(7y - 3) = 0

y = 0 or y = 37

1,589.

Factorize 2e2 - 3e + 1

A.

(2e-1) (e-1)

B.

(e+1) (2e+1)

C.

(2e+3) (e+2)

D.

(2e-3) (e-1)

E.

(e2-3(2e-1)

Correct answer is A

2e2 - 3e + 1

2e2 - 2e - e + 1

2e(e - 1) - 1(e - 1)

(2e - 1)(e - 1)

1,590.

Factorize x2 + 4x - 192

A.

(x-4) (x+48)

B.

(x-48) (x+4)

C.

(x-12) (x+16)

D.

(x-12) (x-16)

E.

(x+12) (x+16)

Correct answer is C

x2 + 4x - 192

x2 + 16x - 12x - 192

x(x + 16) - 12(x + 16)

(x + 16)(x - 12)