Question

EXERCISE 4.3
1. Find the roots of the following quadratic equations, if they exist, by the method of
completing the square:
(1) 2x2 - 7x + 3 = 0
(ii)2x2 + x-4=0
(iii) 4x2 + 4√3x +3=0
(iv) 2x2 +x+4= 0

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Answer 1

Answer:

(i) p(x) = 2x² - 7x + 3

= 2x² - x - 6x + 3

= x(2x - 1) - 3(2x - 1)

= (2x - 1)(x - 3)

(ii) Does Not Exist!

(iii) p(x) = 4x² + 4√3x + 3

= (2x)² + 2(2x)(√3) + (√3)²

= (2x + √3)²

(iv) Does Not Exist!

Hope It HELPS!

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