Examine whether the following equation is quadratic or not: $(x+6)(x+5)=0$.

Solve the following quadratic equation using the quadratic formula,if the equation has a solution in $R$: $x^{2}+5x+3=0$.

In a right triangle,the length of the hypotenuse is $2\,cm$ more than the length of the base and $1\,cm$ more than twice the length of the altitude. Find the length of the hypotenuse. (in $,cm$)

The value of the discriminant of the quadratic equation $5x^{2} + x + 2 = 0$ is ..... .

The golden ratio,often denoted by the Greek letter $\phi$,is a special number. Which of the following is the golden number?

The roots of a quadratic equation ............ are recurring.