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Loginfind a quadratic polynomial whose sum of zeros is -3/2root5 and the product of the zeroes is -1/2 also find the zeroes of the polynomial
Interview Questions Math 1 year ago
Posted on 18 Jan 2024, this text provides information on Math related to Interview Questions. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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Best Answer
1 year ago
sum of ZEROES is-3/2√5product of zeroes is -1/2equation of the quadratic POLYNOMIAL is x² - ( sum of zeroes) + (PRODUCT of zeroes)=x²+ X(3/2√5) - 1/2 = 02√5 x² +3x -√5 =02√5x²+5x-2x-√5=0√5x(2x+√5) -1(2x+√5)=0(2x+√5)(√5x-1)=0case12x+√5=02x= -√5x=-√5/2case2√5x-1=0√5x=1x=1/√5zeroes of the polynomial is 1/√5,-√5/2
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