Question

Solve the equation using square roots. x2 + 5 = 41

Answer 1

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!

Answer 2

Answer: The required solution is x = 6, -6.

Step-by-step explanation: We are given to solve the following quadratic equation using square roots :

`x^2+5=41~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

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

`x^2+5=41\\\\\Rightarrow x^2=41-5\\\\ \Rightarrow x^2=36\\\\\Rightarrow x=\pm√(36)~~~~~~~~~~~~\textup{[taking square root on both the sides]}\\\\\Rightarrow x=\pm 6.`

Thus, the required solution is x = 6, -6.