How do you simplify by completing the square?

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How do you simplify by completing the square?

Steps

  1. Step 1 Divide all terms by a (the coefficient of x2).
  2. Step 2 Move the number term (c/a) to the right side of the equation.
  3. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

What are the steps of completing the square?

The completing the square method involves the following steps:

  1. Step 1) Divide all terms by the coefficient of .
  2. Step 2) Find.
  3. Step 3) Find.
  4. Step 4) Add to both sides of the equation.
  5. Step 5) Complete the square on the left-hand-side of the equation.
  6. Step 7) Take the square root of both sides and solve for the variable.
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What number must be added to x2 12x to complete the square?

36
The value which must be added to the expression x2 + 12x to make it a perfect-square trinomial is 36.

Is X² 12x 36 a perfect square trinomial?

x2 + 12x + 36 is called a perfect square trinomial — which is the square of a binomial.

How do you apply the zero product property?

The Zero Product Property simply states that if ab=0 , then either a=0 or b=0 (or both). A product of factors is zero if and only if one or more of the factors is zero. This is particularly useful when solving quadratic equations . x2+x−20=0 .

Can you do quadratic formula without c?

To say that a quadratic equation has no c is the same as saying that c = 0. So you could use the formula for solving the quadratic equation.

How do you complete the square when a is not 1?

Completing the square when a is not 1. To 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 \ e 1, a = 2 \\) so divide through by 2.

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How do you solve a square with b = 0?

Completing the square when b = 0. When 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: Eliminate b term with 0 to get: Keep terms on the left and move the constant to the right side by adding it on both sides.

How do you use the simple simplify calculator?

Simplify Calculator. Enter the expression you want to simplify into the editor. The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it’s simplest form. The calculator works for both numbers and expressions containing variables.