A quintic function is defined by a polynomial of degree

If $\mathrm{x}=3$ is one root of the quadratic equation ${\mathrm{x}}^2-2\mathrm{kx}-6=0$, then find the value of $\mathrm{k}$

Two equations are given, you have to solve both the equations and get the answer:

$\left(i\right) 2X^2-4X+2=0$

$\left(ii\right) 2Y^2-Y-1=0$

Find the value of $k$ for which the following equation has equal roots.

$x^2+4kx+\left(k^2-k+2\right)=0$

A motorboat whose speed is $18 \mathrm{km}/\mathrm{h}$ in still water takes $1$ hour more to go $24 \mathrm{km}$ upstream than to return downstream to the same spot. Find the speed of the stream.

Two equations are given, you have to solve both the equations and should get the answer:

$\left(i\right) X^2-15X+56=0$

$\left(ii\right) Y=\sqrt{64}$

Two equations are given, you have to solve both the equations and get the answer:

$\left(i\right) X^2-X-6=0$

$\left(ii\right) Y^2-6Y+8=0$

Solve the following Quadratic Equation:

$x^2-7x+3=0$

Give your answer correct to two decimal places.

The product of the zeroes of $x^2-15$  is

Two equations are given, you should solve both the equations and get the answer:

$\left(i\right) X^2-11X+24=0$

$\left(ii\right) Y^2+14Y-45+0$

FInd the factors of $(x^2 - x - 132):$

1. $(x - 11) (x -12)$
2. $(x + 12) (x -11)$
3. $(x + 11) (x + 12)$
4. $(x - 12) (x + 11)$