Question

Find the roots of the equation 5x2-6x-2=0 by the method of completing the square.

Answer 1

Answer:

Given: 5x^2-6x-2=0

Now we follow the algorithm

Step-1: x^2-6÷5x-2÷5=0 (dividing both sides by 5 )

Step-2: x^2-6÷5=2÷5

Step-3: x^2-6÷5+[3÷5]^2=2÷5+[3÷5]^2 (adding [3÷5]^2 to both sides )

Step-4: [x-3÷5]^2=2÷5+9÷25

Step-5: [x-3÷5]^2=19÷25

Step-6: x-3÷5=+-√19÷25

Step-7: x=3÷5+√19÷5 or x=3÷5-√19÷5

Therefore... x=3+√19÷5 or x=3-√19÷

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