Question

if two - third of square of number is subtracted from its square gives 75 then the one - fifth of the square of the original number subtracted from its cube will be ​

Answer 1

Answer:

Step-by-step explanation:

Let the number be x

So

X^2-2/3×X^2=75

So

X^2/3=75

X^2=225

X=15

So now 15^3-225/5=answer

3375-45

So answer is 3330

Answer 2

Answer:

3330

-3420

Step-by-step explanation:

Let say number = x

$x^2 - \frac{2x^2}{3} = 75$

$\frac{3x^2 - 2x^2}{3} = 75$

$\frac{x^2}{3} = 75$

$x^2 = 225$

x = ± 15

To find

$x^3 - \frac{1}{5}x^2$

case 1 x = 15

$15^3 - \frac{1}{5}(15)^2\\3375 - 45\\3330$

3330

case 2 x = -15

$(-15)^3 - \frac{1}{5}(-15)^2\\-3375 - 45\\-3420$

-3420