
How can you solve by complete square method
Answer
490.5k+ views
Hint: We solve this problem by using the complete square method. Complete square method is that we add some number on both sides so that it gets converted to a square of some linear polynomial and some constant. That is we get in the form
Then we can find the value of easily by applying the square root on both sides.
Complete step by step answer:
We are given that the quadratic equation as
We know that the square of sum of two numbers as
Let us convert the given equation in this form as
Here we have two terms from the formula
So, by adding on both sides we get
Now, by using the formula of square of sum of two numbers we get
Now by applying square root on both sides we get
Here, we get two values of that is one for positive sign and other for negative sign as
Therefore, the roots of given equation are .
Note: We can solve this problem in another way using the formula.
The formula of roots of equation of the form is given as
We are given that the equation as
By using the formula of roots we get
Therefore, the roots of given equation are
This process may not be correct for the given question because we are asked to use the complete square method. So, we need to solve that process then we can check whether the roots we get in that procedure are correct or not using the formula method.
Then we can find the value of
Complete step by step answer:
We are given that the quadratic equation as
We know that the square of sum of two numbers as
Let us convert the given equation in this form as
Here we have two terms from the formula
So, by adding
Now, by using the formula of square of sum of two numbers we get
Now by applying square root on both sides we get
Here, we get two values of
Therefore, the roots of given equation
Note: We can solve this problem in another way using the formula.
The formula of roots of equation of the form
We are given that the equation as
By using the formula of roots we get
Therefore, the roots of given equation
This process may not be correct for the given question because we are asked to use the complete square method. So, we need to solve that process then we can check whether the roots we get in that procedure are correct or not using the formula method.
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