Q1 of 83 Page 90

Solve the following quadratic equations using factorization:

x2 — 12 = 0

(x – 2√ 3)(x + 2√ 3) = 0

(∵ a2 – b2 = (a + b)(a – b), and 12 = (2√ 3)2)


⇒ x – 2√ 3 = 0 or x + 2√ 3 = 0


⇒ x = 2√ 3 or x = – 2√ 3


More from this chapter

All 83 →
7

The diagonal of a rectangular ground is 60 meters more than the breadth of the ground. If the length of the ground is 30 meters more than the breadth, find the area of the ground.

 8

The sides of a right angled triangle are consecutive positive integers. Find the area of the triangle.

 1

Solve the following quadratic equations using factorization:

x2 — 7x — 60 = 0

 1

Solve the following quadratic equations using factorization:

x2— 15x + 56 = 0