Solving Quadratic Equations in Disguise - Concept

Concept Concept (1)

There are four methods to solving quadratic equations: factoring, completing the square, using square roots, and using the quadratic formula. Sometimes there are more complex quadratic equations including equations that have fractional exponents and negative exponents. To solve these types of problems, we either make a substitution for a term or factor out negative exponents.

Sample Sample Problems (3)

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Solving Quadratic Equations in Disguise - Problem 1

Solve:

x + 2x − 3 = 0
Problem 1
How to solve a quadratic with fractional exponents.
Solving Quadratic Equations in Disguise - Problem 2

Solve:

x⁻³ − 9x⁻⁴ + 20x⁻⁵ = 0
Problem 2
How to solve a quadratic by factoring out a negative power of x.
Solving Quadratic Equations in Disguise - Problem 3

Solve:

(2x − 1)² − (1 + 3x)² = 0
Problem 3
How to solve a difference of two squares by substitution.
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