![]() Take the square root on both sides of the equation: x 0.4 0.56. Let me illustrate this with another example. Solving General Quadratic Equations by Completing the Square. The above method is pretty universal and handy if you don't remember a formula for solutions of a quadratic equation. Therefore, it is reasonable to transform the original equation intoįrom the last equation, which is absolutely equivalent to the original one, using the operation of the square root, we derive two linear equations: So, let's transform our equation to this form.Įxpression #x^2+x# is not a square of anything, but #x^2+x+1/4# is a square of #x+1/2# because Use the Quadratic Formula to find all real solutions. Write a quadratic equation in standard form and identify the values of a, b, and c in a standard form quadratic equation. If we could transform it to something like #y^2=b# then the square root of both sides would deliver a solution. Use square roots to solve quadratic equations Complete the square to solve a quadratic equation Using the Quadratic Formula to Solve Quadratic Equations. Here is the idea.Īssume, for example, the same equation as analyzed in the previous answer: However, with certain transformation of a given equation into a different but equivalent form it is possible. ![]() If the question is about using the square root directly against the equation, the answer is definitely NO. ![]()
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