Answer:
x=−1 or x=−6
Step-by-step explanation:
Multiply all terms by x and cancel:
xx+6=−7x
x2+6=−7x(Simplify both sides of the equation)
x2+6−−7x=−7x−−7x(Subtract -7x from both sides)
x2+7x+6=0
(x+1)(x+6)=0(Factor left side of equation)
x+1=0 or x+6=0(Set factors equal to 0)
x=−1 or x=−6
Check answers. (Plug them in to make sure they work.)
x=−1(Works in original equation)
x=−6(Works in original equation)
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Answer:
<u>x²/11 + 8</u>
Step-by-step explanation:
We can decipher this algebraic expression going step by step.
1) "Eight more", meaning +8 (we can add this on later).
2) The "quotient of a number (x) squared and eleven", a quotient by definition means the answer to a quantity divided by another. The quantity in this case being x² divided by 11 (so, x²/11).
3) We can combine both of these, getting x²/11 + 8.
Your expression is x²/11 + 8.
- Similarly, you could reposition this equation like 8 + x²/11 (due to the communicative property of addition). Both answers would be acceptable.
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