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Solve the equation $\left(x-2y\right)^2=x^2-4xy+4y^2$

Step-by-step Solution

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Final answer to the problem

true

Step-by-step Solution

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  • Solve for x
  • Solve for y
  • Find the derivative
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  • Derivative
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
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1

The trinomial $x^2-4xy+4y^2$ is a perfect square trinomial, because it's discriminant is equal to zero

$\Delta=b^2-4ac=-4^2-4\left(1\right)\left(4\right) = 0$

Learn how to solve equations problems step by step online.

$\Delta=b^2-4ac=-4^2-4\left(1\right)\left(4\right) = 0$

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Learn how to solve equations problems step by step online. Solve the equation (x-2y)^2=x^2-4xy4y^2. The trinomial x^2-4xy+4y^2 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. If the bases are the same, then the exponents must be equal to each other.

Final answer to the problem

true

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Function Plot

Plotting: $true$

Main Topic: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.

Used Formulas

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