If sum = -12, product = -28. Then find the 2 numbers.

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L e t n u mb ers b e a an d a + b = - 12 \to (i) ab = - 28 \to (ii) A s w e kn o w t ha t, \Rightarrow (a - b)^{2} = (a + b)^{2} - 4 a . b \Rightarrow (a - b)^{2} = (- 12)^{2} - 4 \times - 28 \Rightarrow (a - b)^{2} = 144 + 112 \Rightarrow a - b = 256 a - b = 16 \to (iii) A dd in g e q u a t i o n (i) an d (iii) \Rightarrow 2 a = 4 a = 2 P u t a = 2 in e q u a t i o n (ii) \Rightarrow 2 \times b = - 28 ∴ b = - 14 He n ce, tw o n u mb ers a re 2 an d - 14

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Question Text	If sum = -12, product = -28. Then find the 2 numbers.
Answer Type	Text solution:1
Upvotes	150