can u tell wat will be the ans for f(x)= root of x square minus 16 and f(x)=1by root of 49 minus x square

Asked by pooja.pri098 | 31st Jul, 2014, 07:34: PM

Expert Answer:

G i v e n space t w o space f u n c t i o n s space a r e F left parenthesis x right parenthesis equals square root of x squared minus 16 end root F left parenthesis x right parenthesis equals fraction numerator 1 over denominator square root of 49 minus x squared end root end fraction rightwards double arrow square root of x squared minus 16 end root equals fraction numerator 1 over denominator square root of 49 minus x squared end root end fraction s q u a r i n g space o n space b o t h space s i d e s space a n d space c r o s s space m u l t i p l y i n g space b o t h space o f space t h e m space g i v e s open parentheses x squared minus 16 close parentheses open parentheses 49 minus x squared close parentheses equals 1 49 x squared minus x to the power of 4 minus 16 cross times 49 plus 16 x squared equals 1 65 x squared minus x to the power of 4 minus 784 equals 1 x to the power of 4 minus 65 x squared plus 785 equals 0  x squared equals fraction numerator minus b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction x squared equals fraction numerator 65 plus-or-minus square root of 1085 over denominator 2 end fraction equals fraction numerator 65 plus-or-minus 32.94 over denominator 2 end fraction x squared equals fraction numerator 65 plus 32.94 over denominator 2 end fraction comma space x squared equals fraction numerator 65 minus 32.94 over denominator 2 end fraction x equals plus-or-minus 6.998 comma space plus-or-minus 4.004

Answered by Dharma Teja | 1st Aug, 2014, 08:00: AM