Q1. Find the roots of the following equation 4x2 + 4bx – (a2 – b2) = 0 by the method of completing the square.
Q2. Solve the quadratic equation :- x2 + 3x – (a2 + a – 2) = 0 by factorization method.
Q3. By using the method of completing the square , show that the equation 4x2 + 3x + 5 = 0 has no real roots.
Q4. Find the values of k for which the given equation i.e. 2x2 – 10x + k = 0 has real and equal roots.
Q5. The sum of two numbers is 15. If the sum of their reciprocals is 3 / 10 , find the numbers.
Q6. The product of Rohan's age five years ago with his age 9 years later is 15. Find Rohan's present age.
Q7. One year ago , a man was 8 times as old as his son. Now his age age is equal to the square of his son's age. Find their present ages.
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