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CBSE Class 9 Answered

t h e space r o o t s space o f space x subscript blank superscript 2 minus 2 x minus left parenthesis r subscript blank superscript 2 minus 1 right parenthesisequals 0 space
Asked by abhijeetkhachane | 21 Jan, 2015, 10:17: PM
answered-by-expert Expert Answer
x squared minus 2 x minus left parenthesis r squared minus 1 right parenthesis equals 0 rightwards double arrow x equals fraction numerator minus left parenthesis minus 2 right parenthesis plus-or-minus square root of left parenthesis minus 2 right parenthesis squared plus 4 left parenthesis r squared minus 1 right parenthesis end root over denominator 2 cross times 1 end fraction left square bracket U sin g space Q u a d r a t i c space F o r m u l a right square bracket rightwards double arrow x equals fraction numerator minus left parenthesis minus 2 right parenthesis plus-or-minus square root of 4 plus 4 r squared minus 4 end root over denominator 2 cross times 1 end fraction rightwards double arrow x equals fraction numerator 2 plus-or-minus square root of 4 r squared end root over denominator 2 end fraction rightwards double arrow x equals fraction numerator 2 plus-or-minus 2 r over denominator 2 end fraction equals left parenthesis 1 plus-or-minus r right parenthesis therefore x equals left parenthesis 1 plus r right parenthesis comma space left parenthesis 1 minus r right parenthesis R o o t s space a r e space left parenthesis 1 plus r right parenthesis space a n d space left parenthesis 1 minus r right parenthesis.
Answered by Prasenjit Paul | 22 Jan, 2015, 10:12: AM

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