Whole square of a zero by 4 by 3 is equal to 5
Mathematics
ScanSolve AI Answer
Step-by-step solution
5 stepsThe problem states: "Whole square of a zero by 4 by 3 is equal to 5".
This can be translated into an equation. "Whole square" implies squaring the entire expression. "a zero by 4 by 3" can be interpreted as a variable, let's call it 'x', multiplied by 4 and then by 3. So, the expression inside the square is 4 × 3 × x, which simplifies to 12x.
Write the equation based on the problem statement.
(12x)² = 5
Expand the squared term.
144x² = 5
Isolate x².
x² = (5)/(144)
Solve for x by taking the square root of both sides.
Remember that a square root can have both a positive and a negative result.
x = ±√((5)/(144))Simplify the square root.
x = ±(√5)/(√144)
x = ±(√5)/(12)The solutions are x = (√5)/(12) and x = -(√5)/(12).
The values of x are ±(√5)/(12).
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