Question

If th sum of the roots of the equation kx®-2√2x+1=0,is √2 ,then find the roots of the equation

Answer 1

Answer:

Step-by-step explanation:

If quadratic equation is of form ax²+bx+c=0, then sum of roots = -b/a.

For equation kx²-2√2x+1=0, sum of roots = √2.

Sum of roots = -b/a =  √2

(2√2)/k = √2

=> k = 2.

Thus the equation becomes 2x² - 2√2x + 1 = 0

=> (√2x - 1 )² = 0

=> x = 1/√2.

Answer 2

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