Calculator UseThis calculator is a quadratic equation solver that will solve a second-order polynomial equation in the form ax2 + bx + c = 0 for x, where a ≠ 0, using the completing the square method. Show
The calculator solution will show work to solve a quadratic equation by completing the square to solve the entered equation for real and complex roots. Completing the square when a is not 1To complete the square when a is greater than 1 or less than 1 but not equal to 0, factor out the value of a from all other terms. For example, find the solution by completing the square for: \( 2x^2 - 12x + 7 = 0 \) \( a \ne 1, a = 2 \) so divide through by 2 \( \dfrac{2}{2}x^2 - \dfrac{12}{2}x + \dfrac{7}{2} = \dfrac{0}{2} \) which gives us \( x^2 - 6x + \dfrac{7}{2} = 0 \) Now, continue to solve this quadratic equation by completing the square method. Completing the square when b = 0When you do not have an x term because b is 0, you will have a easier equation to solve and only need to solve for the squared term. For example: Solution by completing the square for: \( x^2 + 0x - 4 = 0 \) Eliminate b term with 0 to get: \( x^2 - 4 = 0 \) Keep \( x \) terms on the left and move the constant to the right side by adding it on both sides \( x^2 = 4\) Take the square root of both sides \( x = \pm \sqrt[]{4} \) therefore \( x = + 2 \) \( x = - 2 \) Square Root Equation Calculator is a free online tool that displays the variable for the given square root equation. BYJU’S online square root equation calculator tool performs the calculation faster and it displays the unknown variable value in a fraction of seconds. How to Use the Square Root Equation Calculator?The procedure to use the square root equation calculator is as follows: Step 1: Enter the equation in the input field Step 2: Now click the button “Solve” to get the variable value Step 3: Finally, the solution for the given square root equation will be displayed in the output field What is Meant by Square Root Equation?In mathematics, the square root equation is defined as an equation which is present inside the radical or the root symbol. It means that the radicand contains the equation which usually has an independent variable (say x). In the square root equation, the radical should be a square root. It means that the radical equation or the square root equation is of the form √x = y. While solving any square root equation, the square root can be removed by taking the square on both the sides of the equation. After the elimination of the square root, the equation can be solved easily. It is noted that the radical symbol with index “n” of an equation, can be solved by taking the nth power of the equation on both sides. \(\begin{array}{l}\sqrt[n]{x}=y\end{array} \) The nth root of the equation becomes, x = yn Solved Example on Square Root EquationExample: Solve √(2x+2) = 4 Solution: Given that, the square root equation is √(2x+2) = 4 To remove the square root symbol on the left side of the equation, take square on both the sides, then the given square root equation becomes, [√(2x+2)]2 = 42Now, cancel the square and square root on L.H.S of the equation 2x+2 = 16 2x = 16-2 2x = 14 x = 14/2 x= 7 Stay tuned, while we are in the process of adding the Square Root Property Calculator. Square Root Property Calculator is a free online tool that displays the value of the variable for using square root property. BYJU’S online square root property calculator tool makes the calculation faster, and it displays the variable value in a fraction of seconds. How to Use the Square Root Property Calculator?The procedure to
use the square root property calculator is as follows: What is Meant by Square Root Property?In Mathematics, using the square root property we can solve the equation. It states that, if we have an equation with perfect squares on both the sides, take the square root on both the sides and bring the variables and constant separately to find the variable value. This property helps to remove the perfect squares to simplify the equation.
Quadratic Formula CalculatorWhat do you want to calculate?Example: 2x^2-5x-3=0 Step-By-Step ExampleLearn step-by-step how to use the quadratic formula! Example (Click to try)2x2−5x−3=0 About the quadratic formulaSolve an equation of the form ax2+bx+c=0 by using the quadratic formula: x=
Quadratic Formula Video Lesson Solve with the Quadratic Formula Step-by-Step [1:29] Need more problem types? Try MathPapa Algebra Calculator How do you solve quadratic equations using the square root property?To solve an equation by using the square root property, you will first isolate the term that contains the squared variable. You can then take the square root of both sides and solve for the variable. Make sure to write the final answer in simplified form.
Why can the square root property be used to solve a quadratic equation?The Square Root Property is used in solving quadratic equations by eliminating the square exponents to isolate the variable being solved. The formula x=±√c x = ± c gives us two possible answers, the positive and negative of the number that can be multiplied by itself to equal x.
What is the square √ 64?The square root of 64 is 8, i.e. √64 = 8. The radical representation of the square root of 64 is √64. Also, we know that the square of 8 is 64, i.e. 82 = 8 × 8 = 64. Thus, the square root of 64 can also be expressed as √64 = √(8)2 = √(8 × 8) = 8.
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Solving a quadratic equation using the square root property calculator
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