Q3 of 65 Page 145

Short answer type questions:

If a2 – b2 = 224 and a and b are negative integers (a < b), then let us write the values of a and b.

224 can be written as 16 × 14


224 = (-16) × (-14)


Also using the identity, x2 – y2 = (x + y)(x – y)


⇒ a2 – b2 = (a + b)(a - b) = (-16) × (-14)


On equate the factors, as


a + b = -16 and (a – b) = -14 and solving these two equations, we get,


a = -15 and b = -1


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