There is a $7.00 entrance fee to get in the 8th grade football game. Which number sentences could be used to determine how many
2 answers:
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Start by decomposing the number inside the root into primes
Then group the terms into cubes if possible
rewrite the root
then cancel the terms that are cubes and bring them out of the root
Answer:
x = √17 and x = -√17
Step-by-step explanation:
We have the equation:
To solve this we need to remove the denominators.
Then we can first multiply both sides by (x + 4) to get:
Now we can multiply both sides by (x + 3)
Now we can multiply both sides by (x^2 + 7*x + 12)
Now we need to solve this:
we will get
Then we get:
So now we only need to solve this.
We can see that the constant is 51.
Then one root will be a factor of 51.
The factors of -51 are:
-3 and -17
Let's try -3
p( -3) = (-3)^3 + 3*(-3)^2 + +17*(-3) + 51 = 0
Then x = -3 is one solution of the equation.
But if we look at the original equation, x = -3 will lead to a zero in one denominator, then this solution can be ignored.
This means that we can take a factor (x + 3) out, so we can rewrite our equation as:
The other two solutions are when the other term is equal to zero.
Then the other two solutions are given by:
x = ±√17
And neither of these have problems in the denominators, so we can conclude that the solutions are:
x = √17 and x = -√17