Sagot :
PROBLEM SOLVING
Four more than the square root of a number is 12. What is the number?
The equation would be
4 + √x = √12
Solve for the value of x.
4 + √x = √12
(4 + √x)² = (√12)²
16 + x = 12
x = -16 + 12
x = 4i
A negative integer inside a radical sign is undefined.
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Answer:
64
Step-by-step explanation:
The statement 'four more than the square root of a number is 12' can be mathematically expressed as
√x + 4 = 12
Transpose 4 to the other side, so that we'll have:
√x = 12 - 4
Then, just simply perform the indicated operation in the right side of the equation and we'll get:
√x = 8
Now, square both sides:
(√x)^2 = (8)^2
Thenn we'll have:
x = 64
Therefore, the unknown number is 64.