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Solving Quadratic Equations with Square Roots

Solving Quadratic Equations with Square Roots 1.8 - Solution

arrow_back Return to Solving Quadratic Equations with Square Roots
Let's write the equation in the form The leading coefficient can be any non-zero real number and and are the zeros of the function. Since the roots are and our equation can be written as follows. Note that any equation in the above form will have roots and regardless the value of For simplicity, let's set
Simplify right-hand side
Note that there are infinitely many equations that satisfy the given condition. This is just one of them.