Retake Unit 2 Quiz 3 Part A IGCSE

Which quadratic equations have two solutions? Check all that apply.

• y = -x² + 2x - 1

• y = x² + 3

• y = x² - 25

• y = 4x² + 12x + 9

• y = x² - 8x - 20

Solve the equation. Simplify all irrational solutions: x² + 10x = 24

• x = 4, x = -6
• x = 0, x = -10
• x = 3, x = -8
• x = 2, x = -12

Solve the equation. Simplify all irrational solutions: 4x² + 5 = 6

• x = ±3/2
• x = ±1/2
• x = ±1/4
• x = ±1

Solve the equation. Simplify all irrational solutions: x² + 18x = 4x - 49

• -5
• -10
• 0
• -7

Solve the equation. Simplify all irrational solutions: x² - 6x - 23 = 0

• 4 ± √5
• 3 ± 4√2
• 5 ± 2√3
• 2 ± 3√2

Solve the equation. Simplify all irrational solutions: x² - 9x = 0

• x = 0, x = 9
• x = 1, x = 8
• x = -3, x = 12
• x = 3, x = 6

Solve the equation. Simplify all irrational solutions: (2/3)x² + 15 = 23

• x = 3
• x = ±4
• x = 5√2
• x = ±2√3

A square is altered so that one dimension is increased by 5 meters and the other dimension is increased by 3 meters. If the area of the resulting rectangle is 99 square meters, find the area of the original square.

• 36
• 25
• 49
• 64

The length of a rectangle is seven less than twice the length of its width. If the area of the rectangle is 15 square meters, find the value of x.

• 5
• 10
• 8
• 3

Find two consecutive positive integers such that the square of the larger integer is nineteen more than nine times the smaller integer.

• 9 and 10
• 8 and 9
• 10 and 11
• 7 and 8