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Maths-

General

Easy

Question

$square root of x plus 4 equals 12$
Which of the following is the solution to the equation above?

8
16
64
140

The correct answer is: 64

Hint:
The concept used in this question is concept of the equation.
In this question, equation with one variable is used, which contain only one variable.
In equation, LHS = RHS, always.
While solving separate the variable term and constant to get the solution.
Step by step explanation:
Given:
Equation: $square root of m space plus space 4 space equals space 12$
Step 1:
Now solve this equation,
$square root of m plus 4 equals 12$
Subtract 4 from both side
$not stretchy rightwards double arrow square root of x plus 4 minus 4 equals 12 minus 4$
$not stretchy rightwards double arrow square root of x plus 4 minus 4 equals 12 minus 4$
$not stretchy rightwards double arrow square root of x equals 12 minus 4$
$not stretchy rightwards double arrow square root of x equals 8$
Step 2:
Now squaring both side,
$not stretchy rightwards double arrow left parenthesis square root of x right parenthesis squared equals 8 squared open curly brackets because left parenthesis square root of b right parenthesis squared equals b close curly brackets$
⇒ x = 64
Hence, the value of x is 64.

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