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borishaifa [10]
1 year ago
7

Find the missing number so that the equation has infinitely many solutions.

Mathematics
1 answer:
Alex17521 [72]1 year ago
7 0

Answer:

-2

Step-by-step explanation:

If both sides are identical, there will be infinitely many solutions.

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The difference of the square of a number and 40 is equal to 3 times that number. Find the positive solution.
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Answer: The answer is 8.

Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;

Y^2 - 40.

Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,

Y^2 - 40 = 3Y

If we move all expressions to one side of the equation, what we would have is,

Y^2 - 3Y -40 = 0

(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)

We now have a quadratic equation

Y^2 -3Y - 40 = 0

By factorizing we now have

(Y -8) (Y + 5) = 0

Therefore Y - 8 = 0 or

Y + 5 = 0

Hence, Y = 8 or Y = -5

Since we are asked to calculate the positive solution, Y = 8

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Reptile [31]

Answer:

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Step-by-step explanation:

The commutative property says that a + b = b + a so the correct answer is 7y +5x.

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