Question

Find the horizontal and vertical intercepts for

Answer 1

Here, we are required to find the vertical and horizontal intercepts for r⁴ + s² − r s = 16.

The vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.

According to the question;

• the r-axis is the horizontal axis.
• the s-axis is the vertical axis.

Therefore, to get the horizontal intercepts, r we set the vertical axis, s to zero(0).

• i.e s = 0
• the equation r⁴ + s² − r s = 16, then becomes;
• r⁴ = 16
• Therefore, r = ±2.

Also, to to get the vertical intercepts, s we set the horizontal axis, r to zero(0).

• i.e r = 0.
• the equation r⁴ + s² − r s = 16, then becomes;
• s² = 16.
• Therefore, s = ±4.

Therefore, the vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.

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