Question

of the equation <br />$5 {x}^{2} - 6 {x }^{2} - 2$<br /> = 0 by the method of completing the square number​

Answer 1

Equation is 5x² - 6x - 2 = 0

=> x² - (6x/5) - (2/5) = 0

=> x² - (6x/5) - (2/5) + (3/5)² - (3/5)² = 0

=> (x - 3/5)² = (3/5)² + (2/5)

=> (x - 3/5)² = 19/25

=> (x - 3/5) = ± (√19/5)

(i)

(x - 3/5) = (√19/5)

=> x = (√19 + 3)/5

(ii)

(x - 3/5) = -(√19/5)

=> x = (-√19 + 3)/5

Roots are : (√19 + 3/5) and (-√19 + 3/5)

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