Question

find the root of the equation 5x2-6x-2=0 by the method of completing the square from quadratic equation

Answer 1

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COMPLETING THE SQUARE METHOD !

Equation we are having :-

5x²- 6x - 2 = 0

x² - 6/5x - 2/5 = 0 ( dividing throughout by 5 )

x² - 6/5x = 2/5

x² - 2(3/5)x + (3/5)² = 2/5 + (3/5)²

(x-3/5)² = 19/25

x-3/5 = ± √19/5

x = 3/5 ± √19/5 = 3±√19/5

x = 3 + √19/5 or x = 3-√19/5

Atlast, the roots of the given equation are :-

3+√19/5 and 3-√19/5.

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Answer 2

Answer:-

5x²- 6x - 2 = 0

x² - 6/5x - 2/5 = 0

x² - 6/5x = 2/5

x² - 2(3/5)x + (3/5)² = 2/5 + (3/5)²

(x-3/5)² = 19/25

x-3/5 = ± √19/5

x = 3/5 ± √19/5 = 3±√19/5

x = 3 + √19/5 or x = 3-√19/5

3+√19/5 also and 3-√19/5