If the roots of the quadratic equation are $\frac{\sqrt{2}}{k}$

Using the quadratic formula of Shridhar Acharya.

 $2x^2-2\sqrt{2}x+1=0$

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

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

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

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

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

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

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

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

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

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

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

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

Solve the following Quadratic Equation:

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

Give your answer correct to two decimal places.

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

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

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

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

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

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.