Respuesta :
The Substitution that should be used is u = x²
Quadratic equations
Given the quartic polynomial expressed as:
- 4x⁴ – 21x² + 20 = 0
We need to find a substitute that will reduce the quaryic equation to a quadratic equation.
To do that, we can rewrite the equation as;
- 4(x²)² - 21x² + 20 = 0
Let P = x² to have:
4P² - 21P + 20 = 0
Since this is a quadratic equation, hence the Substitution that should be used is u = x²
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