Question

Draw graph of equation
$x ^{4} - y^{4} = x \times y$

Answer 1

Answer

Graph in attachment .

Step-by-step explanation

We need to find the x-intercept and y-intercept first before we begin graphing the equation .

When the point is on the x-axis the y-coordinate is 0 .

When the point is on the y-axis the x-coordinate is 0 .

Thus we can put the corresponding values of x and y in the equation in order to find the intercepts .

X-intercept

$x^4-y^4=xy\\\\\implies x^4-0=0\\\\\implies x^4=0\\\\\implies x=0$

Y-intercept

$x^4-y^4=xy\\\\\implies 0-y^4=0\\\\\implies y^4=0\\\\\implies y=0$

So we get both x and y intercepts to be 0 .

Hence the 4 lines for the equation will pass through the origin and will be as shown in attachment .

Since the degree of the equation is 4 , we will draw exactly 4 lines in each quadrants .

Answer 2

ANSWER

Plz refer to the attachment for graph.

1)By using Desmos Graph Calculator.(Graph 1)

2)In paper,by rough (Graph 2)

Step By Step Explanation

Here we have =>

$x^4 - y^4$ = xy

So, for X-intercept,put y =0:>

$x^4 = 0$

=> x = 0

And, for Y- intercept,put x =0 :>

$y^4 = 0$

=>y = 0

Remember

-Here we need to find the x and y intercept .

-When the point is on the x-axis then the y-coordinate will be 0 .

-When the point is on the y-axis then the x-coordinate will be 0 .