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Eight more than the square a number is the same as 6 times the number. How do you find the number?

Answer 1

Julia Adams

The number is either #2# or #4#.

From the data, considering the number as #x#, we can write:

#x^2+8=6x#

Subtract #6x# from both sides.

#x^2-6x+8=0#

Factorize.

#x^2-4x-2x+8=0#

#x(x-4)-2(x-4)=0#

#(x-2)(x-4)=0#

#x-2=0# or #x-4=0#

#x=2# or #x=4#

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Answer 2

Eli Assouline

To find the number:

Let the number be represented by 'x'.
Formulate the equation: (x^2 + 8 = 6x).
Rearrange the equation: (x^2 - 6x + 8 = 0).
Solve the quadratic equation using factoring or quadratic formula. You will find the value(s) of 'x' which represent the number.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.