Exercise 4.1

Check whether the following is a quadratic equation.

Check whether the following is a quadratic equation.

 $\left(2x-1\right)\left(x-3\right)=\left(x+5\right)\left(x-1\right)$

Check whether the following is a quadratic equation.

 $x^2+3x+1={\left(x-2\right)}^2$

Check whether the given equation is quadratic or not.

${\left(x+2\right)}^3=2x\left(x^2-1\right)$

Check whether the following equation is quadratic not:

Represent the following situation in the form of a quadratic equation:

Represent the following situation in the form of quadratic equation:

A train travels a distance of $480 \mathrm{k}\mathrm{m}$ at a uniform speed. If the speed had been $8 \mathrm{k}\mathrm{m}/\mathrm{h}$ less, then it would have taken $3$ hours more to cover the same distance. We need to find the speed of the train.