![]() The imaginary number, i, is equal to the square root of negative one, √(-1). You may be wondering, though, what if the discriminant is less than zero? Can you take the square root of a negative number? The answer is yes, it simply requires the use of imaginary numbers. Detailed step by step solutions to your Quadratic Equations problems with our math solver and. The one exception to this rule is if b^2 – 4ac (called the discriminant) equals zero, because the square root of zero only equals zero. Quadratic Equations Calculator online with solution and steps. Free complex equations calculator - solve complex equations step-by-step. We will show examples of square roots higher. 1 There are three main ways to solve quadratic equations: 1) to factor the quadratic equation if you can do so, 2) to use the quadratic formula, or 3) to complete the square. Radical equations are equations involving radicals of any order. A quadratic equation is a polynomial equation in a single variable where the highest exponent of the variable is 2. Therefore, because the quadratic formula contains the square root of ( b² – 4ac), we must include the plus or minus in front, which results in two possible results for the square root and thus, two possible solutions to the quadratic equation. High School Math Solutions Radical Equation Calculator. Therefore, whenever you take a square root of an expression, it is good practice to write +/- √ to express that there are two possible solutions. First step, make sure the equation is in the format from above, a x 2 + b x + c 0 : is what makes it a quadratic). Solve quadratic equations using completing the square step-by-step. That is because two positive numbers multiplied together results in a positive number, but two negative numbers multiplied together also results in a positive number.įor example, the square root of 9 is plus or minus 3, because 3 x 3 = 9 and -3 x -3 = 9 as well. First we need to identify the values for a, b, and c (the coefficients). Quadratic Equation Completing the Square Calculator. However, whenever one takes the square root of a positive value, there are always two possible answers, a positive answer and a negative answer. ![]() During the derivation, one must take the square root in order to isolate x (recall √x² = x). The name comes from 'quad' meaning square, as the variable is squared (in other words x2 ). When y = 0 in a quadratic equation, deriving the solution for x results in the quadratic formula. Just enter the values of a, b and c below: Is it Quadratic Only if it can be put in the form ax2 + bx + c 0, and a is not zero. Solving quadratic equations is one basic core skill you need to acquire. X = \frac = -2 Why Are There Two Solutions to the Quadratic Equation? Quadratic equations appear constantly in the algebra applications are word problems.
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