It will find both the real and the imaginary complex roots. Using the value of b from this new equation add to both sides of the equation to form a perfect square on the left side. Put the x -squared and the x terms on one side and the constant on the other side.
A x 2 b x c 0 If b 0 the equation can solved by putting it in the form.
- a quadratic equation of the form 𝑎𝑥2𝑐r can be solved by isolating the perfect square containing the variable 𝑥 and taking the square root of both sides of the equation if 𝑎𝑥2𝑐r then 𝑎𝑥2𝑐 𝑥2𝑐 𝑎 and 𝑥𝑐 𝑎. Solve Quadratic Equations of the Form a x h 2 k Using the Square Root Property We can use the Square Root Property to solve an equation like too. On the previous page Id solved this quadratic equation by factoring the difference of squares on the left-hand side of the equation and then setting each factor equal to zero etc etc. Solving Quadratic Equations Using Square Roots The general form of a quadratic equation is.