Michael J. answered • 04/23/17

Tutor

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Effective High School STEM Tutor & CUNY Math Peer Leader

1)

Look at the polynomial to determine if you can factor by grouping, using FOIL, or using a binomial multiplied by a trinomial. Notice that 2, 380, and 760 are multiples of 2. We can try factor by grouping.

x

^{2}(x - 380) + 2(x - 380) = 0The common factor on the left side of equation is (x - 380).

(x - 380)(x

^{2}+ 2) = 02)

Set the factors equal to zero.

x - 380 = 0 and x

^{2}+ 2 = 03)

When you solve for x from the last step, your solutions should be real numbers. Therefore, the last equation will not make any sense because when you solve for x, the solution is not real.

x

^{2}= -2x = ±√(-2)

The square-root of a negative number is not a real value.

I will let you answer the last part on your own.