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Question

Determine whether the given values of variable is a solution of the quadratic equation or not. xx+2=12;x=2 and x=1

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Solution

The given quadratic equation is xx+2=12.

Substitute x=2 in the equation xx+2=12 as follows:

xx+2=1222+2=1224=1212=12
which is true.

Therefore, x=2 is the solution of the given quadratic equation.

Now, substitute x=1 in the equation xx+2=12 as follows:

xx+2=1211+2=1213=12
which is not true.

Therefore, x=1 is not the solution of the given quadratic equation.

Hence, x=2 is the solution but x=1 is not the solution of the quadratic equation xx+2=12.

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