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Example 8: Find the roots of the equation 5x-6x-2-0 by the method of completingthe square. |
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Answer» Thankyou The equation is 5x²-6x-2 = 0 => (√5x)²-2*(√5x)*(3/√5) +(3/√5)² = 2+(3/√5)² => (√5x-3/√5)² = 2+9/5 => (√5x-3/√5)² = √19/√5 => √5x -3/√5 = +√19/√5, -√19/√5 or√ 5x = (+√19/√5+3/√5, -√19/√5 +3/√5 so x =( 3+√19)/5 , (3-√19)/5 |
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