Question

if x and y are real numbers and y/x =x the y cannot take the value of ​

Answer 1

$\large\rm{ y \neq -1}$

Confused why? Let's verify.

$\large\rm{ \dfrac{y}{x} = x}$

multiplying both sides by x,

$\large\rm{ \dfrac{y}{x} \times x = x \times x}$

$\large\rm{ \dfrac{y}{\cancel{x}} \times \cancel{x} = x^{2}}$

$\large\rm{ y = x^{2}}$

we know that if there is x², then its value can't be less than 0.

$\large\rm{ y = x^{2} \geqslant 0}$

$\large\boxed{\rm{ \therefore y \neq -1}}$