Use the square-root property to solve each equation.
To calculate : The solution for given equations by applying the square root property.
Answer to Problem 1MP
(A) The solution for
( B ) The solution for
( C ) There is no real solution for
( D ) The solution for
Explanation of Solution
Calculation :
(A)
Consider the equation,
Use the square root property to compute the value of
Thus, the solution for
Now check the solutions in original problem:
Substitute
Which is true.
Substitute
Which is true.
Thus, the solution for
( B )
Consider the equation,
Use the square root property to compute the value of
Thus, the solution for
Now check the solutions in original equation
For
For
So, the solutions are true.
Thus, the solution for
( C )
Consider the equation,
Use the square root property to compute the value of
Square of any real number cannot be negative.
Thus, there is no real solution for
(D)
Consider the equation,
Use the square root property to compute the value of
Solve further as,
Now check the solutions in original equation
For
For
So, the solutions are true.
Thus, the solution for
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