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Question

Determine. if 3 is a root of the equation given below:
x2-4x+3+x2-9=4x2-14x+16

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Solution

We have been given that,

We have to check whether x = 3 is the solution of the given equation or not.

Now, if is a root of the above quadratic equation, then it should satisfy the whole. So substituting in the above equation, we have,

Now since, we can see from above that left hand side and right hand side are not equal. Therefore is not the solution of the given quadratic equation.


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