Question

Solve.

6. If two roots of a quadratic equation are $\sqrt{2}$ and 1 then form the quadratic equation.

Answer 1

$$\begin{gathered} x=\sqrt{2},1 \\ \left(x-\sqrt{2}\right)\left(x-1\right)=0 \\ {x}^2-x-\sqrt{2}x+\sqrt{2}=0 \\ {x}^2-\left(1+\sqrt{2}\right)x+\sqrt{2}=0thiswillbetherequiredeqn. \\ Regards \end{gathered}$$