**Question 6:**Write and simplify the equation whose roots are the reciprocals of the roots of $3{x}^{2}+2x-1=0$ , without solving the given equation.

*Solution*:

**Question 7:**Find the value of

*p*if one root of ${x}^{2}+px+8=0$ is the square of the other.

*Solution*:

**Question 8:**If one root of $2{x}^{2}+px+9=0$ is twice the other, find the values of

*p*.

*Solution*:

**Question 9:**The roots of the equation $6{x}^{2}+hx+1=0\text{are}\alpha \text{and}\beta \text{,whereas3}\alpha \text{and3}\beta $ are the roots of the equation $2{x}^{2}-x+k=0$ . Find the value of

*h*and

*k*.

*Solution*:

**Question 10:**Find the range of values of

*p*for which the equation $2{x}^{2}+5x+3-p=0$ has two real distinct roots.

*Solution*: