How do you solve the equation by completing the square?
The completing the square method involves the following steps:
- Step 1) Divide all terms by the coefficient of .
- Step 2) Find.
- Step 3) Find.
- Step 4) Add to both sides of the equation.
- Step 5) Complete the square on the left-hand-side of the equation.
- Step 7) Take the square root of both sides and solve for the variable.
What is the first step to solve the equation by completing the square?
To complete the square, first, you want to get the constant (c) on one side of the equation, and the variable(s) on the other side. To do this, you will subtract 8 from both sides to get 3x^2-6x=15. Next, you want to get rid of the coefficient before x^2 (a) because it won´t always be a perfect square.
Can every quadratic equation be solved by completing the square?
The idea of completing the square is to add something to an equation to make that equation a perfect square. This makes solving a lot of equations easy. In fact, all quadratic equations can be solved by completing the square.
Which statement describes the first step to solve the equation by completing the square 3x squared 18x equals 21?
multiply
The statement that describes the first step to solve the equation 3×2 + 18x = 21 by completing the square is to multiply both sides of the equation by 1/3.
What is the first step to solving an equation by completing the square 2 10a 21 0?
Step 2 :Pulling out like terms The middle term is, +10a its coefficient is 10 . Step-2 : Find two factors of 21 whose sum equals the coefficient of the middle term, which is 10 .
How can you solve quadratic equation in one variable using completing the square method?
The Steps
- Step 1: Set your equation to 0.
- Step 2: Move your single constant to the other side.
- Step 3: Divide by the coefficient of the squared term if there is one.
- Step 4: Take the coefficient of your single x term, half it including its sign, and then add the square of this number to both sides.
What is zero of a polynomial class 10?
The zero of a polynomial can be defined as those values of x when substituted in the polynomial, making it equal to zero. In other words, we can say that the zeroes are the roots of the polynomial. We can obtain the zeroes of the polynomial P(x) by equating it to 0.
When could we use completing the square to solve a quadratic equation?
If you are trying to find the roots of a quadratic equation, then completing the square will ‘always work’, in the sense that it does not require the factors to be rational and in the sense that it will give you the complex roots if the quadratic’s roots are not real.
How do you solve using completing the square method x2 + 3x + 1?
How do you solve using completing the square method x2 + 3x + 1 = 0? From the given x2 + 3x + 1 = 0, we can see that the coefficient of x^2 is already 1, so we can begin with the coefficient of x which is 3. The 3 will have to be divided by 2 then the result should be squared and the final result is 9 4.
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.
What is x^2 + 3x + 1 = 0?
From the given x2 + 3x + 1 = 0, we can see that the coefficient of x^2 is already 1, so we can begin with the coefficient of x which is 3. The 3 will have to be divided by 2 then the result should be squared and the final result is 9 4.
What is the easiest way to solve square root when 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: x 2 + 0 x − 4 = 0