Respuesta :
X*2 +5 =41
Subtract 5 from both sides
X*2=36
Square root of 36 is 6
X=6
Solve
6*2+5 =41
This’s correct!
Subtract 5 from both sides
X*2=36
Square root of 36 is 6
X=6
Solve
6*2+5 =41
This’s correct!
Answer: The required solution is x = 6, -6.
Step-by-step explanation: We are given to solve the following quadratic equation using square roots :
[tex]x^2+5=41~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To solve a quadratic equation by square root method, we need to take x² term on one side and the constant term on the other. After that, the square root on both the sides are taken.
From equation (i), we have
[tex]x^2+5=41\\\\\Rightarrow x^2=41-5\\\\ \Rightarrow x^2=36\\\\\Rightarrow x=\pm\sqrt{36}~~~~~~~~~~~~\textup{[taking square root on both the sides]}\\\\\Rightarrow x=\pm 6.[/tex]
Thus, the required solution is x = 6, -6.
