Verifying the Relation Ship Between Roots and Coefficients of a Quadratic Equation Worksheet :
Practice problems given in this section will be much useful for the students who would like to practice on verifying the relationship between roots and coefficients.
Question 1 :
Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and coefficients
(i) x² – 2 x – 8 Solution
(ii) 4 s² – 4 s + 1 Solution
(iii) 6 x² – 3 – 7 x Solution
(iv) 4 u² + 8 u Solution
(v) t² - 15 Solution
(vi) 3 x² – x - 4 Solution
(2) Find the quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
(i) 1/4 ,-1 Solution
(ii) √2,1/3 Solution
(iii) 0, √5 Solution
(iv) 1, 1 Solution
(v) -1/4, 1/4 Solution
(vi) 4, 1 Solution
After having gone through the stuff given above, we hope that the students would have understood, verifying the relation ship between roots and coefficients of a quadratic.
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