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A day full of math games & activities. Find one near you.
Is the equation x9 - 5x3 + 6 = 0 quadratic in form? Explain why or why not.
Solution:
An equation where the highest exponent of the variable (usually "x") is 2. It can be x² but no x³.
In other words, a quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared.
A Quadratic Equation is usually written as ax2 + bx + c = 0.
Where a,b and c are constants
x = unknown variable
Example: 8x2 + 5x - 3 = 0.
Given, the equation is x9 - 5x3 + 6 = 0
The exponent of the first term is 9 while that of the second term is 3, the square of 3.
While squaring x3 we get x6 instead of x9.
Therefore, the given equation is not quadratic in form.
Is the equation x9 - 5x3 + 6 = 0 quadratic in form? Explain why or why not.
Summary:
The equation x9 - 5x3 + 6 = 0 is not in quadratic form.
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