^a2-b^2 = 224 and a and b are
negative figure; then a and b=?
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1
Answer:
a = -15 and b = -1
Step-by-step explanation:
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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