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FromTheMoon [43]
2 years ago
5

I’m confused on this

Mathematics
2 answers:
dexar [7]2 years ago
4 0

\huge\boxed{x=25}

The mistake is in Step 1. The solver should have also squared 9 when squaring the other side of the equation.

<h3>Correctly solving</h3>

\begin{aligned}\sqrt{3x+6}&=9\\(\sqrt{3x+6})^2&=9^2\\3x+6&=81\\3x+6-6&=81-6\\3x&=75\\\frac{3x}{3}&=\frac{75}{3}\\x&=25\end{aligned}

goldfiish [28.3K]2 years ago
3 0

Answer:

x = 25

Step-by-step explanation:

The mistake here is the squaring. When you square one side, you have to do the same on the other side:

\sqrt{3x+6} = 9

(\sqrt{3x+6}) ^{2} = 9^{2}

3x + 6 = 81

3x = 75

x = 25

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Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros -4,-2,5. write the functio
OLga [1]

Answer:

Step-by-step explanation:

This is a third degree polynomial since we have 3 zeros.  We find these zeros by factoring the given polynomial.  The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0).  If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4.  If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2.  Same for the 5.  The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out.  That means that we need to find the product of

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No we multiply in the final factor of (x - 5):

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If you are aware of the method for factoring higher degree polymomials, which is to use the Rational Root Theorem and synthetic division, you will see that this factors to x = -4, -2, 5.  If you know how to use your calculator, you will find the same zeros in your solving polynomials function in your apps.

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Answer:

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Step-by-step explanation:

8 0
3 years ago
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