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Find the zeroes of the quadratic …

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Find the zeroes of the quadratic polynomial x²+7x+10, and ve the relationship between the zeroes and the coefficient

Posted by Jay Chaudhari 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 1 month ago

x²+7x+10=0

x²+2x+5x+10=0

x(x+2)+5(x+2)=0

(x+2)(x+5) = 0

x+2 = 0 ; x = -2

x+5 = 0 ; x = -5

Relationship between the zeroes and coefficients :-

Sum of zeroes = -2+(-5) = -2-5
= -7/1 = -x coefficient /x² coefficient

Product of zeroes = (-2)(-5)
= 10/1 = constant/x² coefficient

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