Q10 of 78 Page 14

If α, β are roots of the equation , then write the value of .

given x²-a(x+1)-c=0

x²-ax-a-c=0

x²-ax-(a+c)=0

as α, β are roots of equation, we get

sum of the roots α + β = a

Product of roots αβ = - (a + c)

Given (1+ α) (1+ β)

= 1 + (α + β) + (α β)

= 1 + a – a – c

= 1 – c.

Write the number of quadratic equations, with real roots, which do not change by squaring their roots.

If α, β are roots of the equation , write an equation whose roots are and .

Mark the Correct alternative in the following:

The complete set of values of k, for which the quadratic equation has equal rots, consists of

Mark the Correct alternative in the following:

For the equation , the sum of the real roots is