Solve x^2 - x = 2 using the quadratic formula. Show your work.

1 answer:

8 0

The quadratic formula is the result of completing the square for ax^2+bx+c=0 when a,b, and c are unknown values. This result is:

x=(-b±√(b^2-4ac))/(2a), we have x^2-x-2=0 so

x=(1±√(1+8))/2

x=(1±√9)/2

x=(1±3)/2

x=-1 and 2

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which inequality represents all values of x for which the quotient below is defined?√8x^2 divided by √2x

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Answer:

The function is defined when x > 0

Step-by-step explanation:

Functions with radicals are only undefined when the value in the radical is negative, because the root of a negative number is imaginary.

We know the function is undefined when the denominator is equal to zero. $\sqrt{2x}$ is equal to zero when x=0.

We also know that functions with radicals are undefined when the value in the radicals are negative, because the root of a negative number is imaginary. . $8x^{2}$ will always be positive, but $2x$ is negative when x < 0.