How to add and subtract fractions with unlike denominators and mixed numbers?

Mathematics

1 answer:

Rainbow [258]3 years ago

5 0

To add and subtract fractions you must do the multiplication of the numerator of the first with the denominator of the second. Then, add or subtract the multiplication of the numerator from the second with the denominator of the first. Finally divide the result between the multiplication of the denominator of the first with the denominator of the second fraction.Annex the result.

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In a inequality how do you do know when to flip the signs

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Which of the following is an extraneous solution of (45-3x)^1/2=x-9?

Iteru [2.4K]

Answer:

C. x =3

Step-by-step explanation:

Extraneous solution is that root of a transformed equation that doesn't satisfy the equation in it's original form because it was excluded from the domain of the original equation.

Let's solve the equation first

$\sqrt{45-3x} = x-9\\Taking\ square\ on\ both\ sides\\{(\sqrt{45-3x})}^2 = {(x-9)}^2\\45-3x = x^2-18x+81\\0 = x^2-18x+81-45+3x\\x^2-15x+36 = 0\\x^2-12x-3x+36 = 0\\x(x-12)-3(x-12) = 0\\(x-3)(x-12)\\x-3 = 0\\=> x =3\\x-12 = 0\\x = 12\\We\ will\ check\ the\ solutions\ one\ by\ one\\So,\\for\ x=3\\\sqrt{45-3(3)} = 3-9\\\sqrt{45-9} = -6\\\sqrt{36}= -6\\6\neq -6\\For x=12\\\sqrt{45-3(12)} = 12-9\\\sqrt{45-36} = 6\\\sqrt{36}= 6\\6=6$

Hence, we can conclude that x=3 is an extraneous solution of the equation ..

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3 years ago

Please need help on this

zimovet [89]

Answer:

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Step-by-step explanation:

To find the answer, you would need to divide the numbers 8550405(people) and 1213.4(kilometers) <--- which where this came from.

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2 years ago

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Morgarella [4.7K]

The main Answer is X=3/2
Incase you need it in decimal point it’s X=1.5 and Mixed number form it’s X=1 1/2

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2 years ago

Read 2 more answers