Let's break down the problem step by step.
We're given that "the sum of five and the square root of eight times a number is twelve." Let's translate that into an equation:
5 + sqrt(8x) = 12
Here, "x" represents the unknown number we're trying to find.
Now, we can solve for "x" by isolating it on one side of the equation. First, we'll subtract 5 from both sides:
sqrt(8x) = 7
Next, we'll square both sides of the equation:
8x = 49
Finally, we'll solve for "x" by dividing both sides by 8:
x = 49/8
So the answer is x = 6.125.
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Answers & Comments
Let's break down the problem step by step.
We're given that "the sum of five and the square root of eight times a number is twelve." Let's translate that into an equation:
5 + sqrt(8x) = 12
Here, "x" represents the unknown number we're trying to find.
Now, we can solve for "x" by isolating it on one side of the equation. First, we'll subtract 5 from both sides:
sqrt(8x) = 7
Next, we'll square both sides of the equation:
8x = 49
Finally, we'll solve for "x" by dividing both sides by 8:
x = 49/8
So the answer is x = 6.125.