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What substitution should be used to rewrite 4x4 – 21x2 + 20 = 0 as a quadratic equation? u = x2 u = 2x2 u = x4 u = 4x4

source : allnswers.com

What substitution should be used to rewrite 4×4 – 21×2 + 20 = 0 as a quadratic equation? u = x2 u = 2×2 u = x4 u = 4×4

Consider the equation

We have to rewrite this equation as quadratic equation.

A quadratic equation is of the form , where ‘a’, ‘b’ and ‘c’ are the real numbers.

The given equation can be expressed as ,

Let u = in the given equation, we get

is the required quadratic equation.

Therefore, u = has changed the given equation into quadratic equation.

So, Option 1 is the correct answer.

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What Substitution Should Be Used To Rewrite 4x4 – 21x2