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ICSE Class 9 Answered

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Asked by adv.mukulsrivastava | 13 May, 2019, 08:58: AM
answered-by-expert Expert Answer
straight x equals fraction numerator 1 over denominator square root of 9 plus 4 square root of 5 end root end fraction
rationalizing
rightwards double arrow straight x equals fraction numerator 1 over denominator square root of 9 plus 4 square root of 5 end root end fraction cross times fraction numerator square root of 9 minus 4 square root of 5 end root over denominator square root of 9 minus 4 square root of 5 end root end fraction
rightwards double arrow straight x equals square root of 9 minus 4 square root of 5 end root
rightwards double arrow straight x minus square root of 9 minus 4 square root of 5 end root equals 0
now space we space can space use space the space remainder space theorem comma space and space say space that space the space value space of space the space function space at space straight x equals square root of 9 minus 4 square root of 5 end root
is space the space remainder space of space fraction numerator straight x cubed plus 7 straight x squared plus 16 straight x plus 7 over denominator straight x minus square root of 9 minus 4 square root of 5 end root end fraction
so space by space long space division
Further you can simplify the remainder
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