Quadratic equations Questions and Answers

Quadratic equations Questions

1. Given that is a perfect square. Find the value of k. (2 mks)

2. Simplify (3mks)

3. Solve the following quadratic equation giving your answer to 3 d.p. (3mks)

4. Simplify (3 mks)

16x² – 4 ÷ 2x – 2

4x² + 2x – 2 x + 1

5. Simplify as simple as possible (3 mks)

6. In a triangle ABC, angle B is 90^o. Find the value of x and hence the area of the triangle

7. Solve the following inequalities and represent the solution on a number line hence state

the integral values 7x – 4  9x + 2  3x + 14

Quadratic equations Answers

1. (3x + 5)² + ( 611)² = ( 7x = 2)²

(9x² + 30x + 25) + 611 = 49x² + 28x + 4

– 40x² + 2x + 632 = 0

20x² – x = 316 = 0

x = 1  2581

40

= 160 OR x = 4

40

Area = ( ½ x 611 x 17

= 210.1cm²

2. 7x – 4  9x + 2 9x + 2  3x + 14

-6 
2x 6x  12

2 2 x  2

-3 x

-3  x 2

Integral values are -3, -2, -1, 0 and 1