i.e., when each of them is substituted in the given equation we get 0. They are also known as the 'solutions' or 'zeros' of the quadratic equation.For example, the roots of the quadratic equation x 2 - 7x + 10 0 are x 2 and x 5 because they satisfy the equation. ![]() It is based on a right triangle, and states the relationship among the lengths of the sides as \(a^2+b^2=c^2\), where \(a\) and \(b\) refer to the legs of a right triangle adjacent to the \(90°\) angle, and \(c\) refers to the hypotenuse. The roots of a quadratic equation are the values of the variable that satisfy the equation. Step 2: We need to make sure that a 1 (if a1, multiply through the equation by before going to next step. Steps for finding out roots by completing the square method: Step 1: Bring the equation in the form ax 2 + bx -c. ![]() ![]() These are the four general methods by which we can solve a quadratic equation. We try to bring the equation in the form of whole squares, for example: (x a) 2 b 2 0. One of the most famous formulas in mathematics is the Pythagorean Theorem. Improve your math knowledge with free questions in 'Solve a quadratic equation using square roots' and thousands of other math skills. Answer: There are various methods by which you can solve a quadratic equation such as: factorization, completing the square, quadratic formula, and graphing. You can plug the area in for A in the formula, rearrange the equation to get it in a form that we can use the square root property to solve, and then solve for r.
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