Question

Which quadratic equation is equivalent to (x2 – 1)2 – 11(x2 – 1) 24 = 0? u2 – 11u 24 = 0 where u = (x2 – 1) (u2)2 – 11(u2) 24 where u = (x2 – 1) u2 1 – 11u 24 = 0 where u = (x2 – 1) (u2 – 1)2 – 11(u2 – 1) 24 where u = (x2 – 1)

Answer 1

The equivalent equation of the quadratic equation (x² – 1)² – 11(x² – 1) + 24 = 0 is u² - 11² + 24 = 0

How to determine the equivalent equation?

The equation is given as:

(x² – 1)² – 11(x² – 1) + 24 = 0

Let u = x² - 1

So, we have:

u² - 11² + 24 = 0

Hence, the equivalent equation of the quadratic equation (x² – 1)² – 11(x² – 1) + 24 = 0 is u² - 11² + 24 = 0

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