Question

When 6 is subtracted from the square of a number, the result is 5 times the number. Find the POSITIVE solution.

Answer 1

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Answer:

The positive solution is 6.

Step-by-step explanation:

x^2 - 6 = 5x (Subtract 5x from both sides)

x^2 -5x - 6 = 0 (We can factor this, so there is no need to use the quadratic formula)

(x - 6)(x + 1) = 0

If the product of the two terms is zero then either one being equal to zero will cause the whole expression to be zero.

The solutions are:

x - 6 = 0 (Add 6 to both sides)

x = 6

x + 1 = 0 (Subtract 1 from both sides)

x = -1

The positive solution is 6.