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kompoz [17]
2 years ago
15

The solution of 5(x+2) – 3x = 2(x – 5)

Mathematics
1 answer:
Burka [1]2 years ago
7 0

Answer:

Step-by-step explanation:

5x + 10 - 3x = 2x - 10

2x + 10 = 2x - 10

0x = -20

no solution

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Rania solves the equation below by first squaring both sides of the equation.
Anuta_ua [19.1K]

Answer:

The extraneous solution is 4.

Step-by-step explanation:

First, let us calculate the value of 'x' without squaring both side of the expression. This is illustrated below:

-5 = 3x - 7

Collect like terms

-5 + 7 = 3x

2 = 3x

Divide both side by 3

x = 2/3.

Now, let us calculate the value of 'x' by squaring both side of the expression. This is illustrated below:

(-5)^2 = (3x - 7)^2

25 = (3x - 7)(3x - 7)

25 = 9x^2 - 21x - 21x + 49

9x^2 - 42x + 49 - 25 = 0

9x^2 - 42x + 24 = 0

Solving by factorisation:

Multiply the first term i.e 9x^2 and 3rd term i.e 24 together. The result is 216x^2.

Next, we shall obtain two factors of 216x^2 such that when we add them together, it will give the 2nd term i.e -42x in the equation. These factors are: -6x and -36x

Now we can write the above equation as:

9x^2 - 42x + 24 = 0

9x^2 - 6x - 36x + 24 = 0

3x(3x - 2) - 12(3x - 2) = 0

(3x - 12)(3x - 2) = 0

3x - 12 = 0 or 3x - 2 = 0

3x = 12 or 3x = 2

x = 12/3 or x = 2/3

x = 4 or 2/3.

We can see that when we solve the question without squaring both side, the value of x is 2/3. But when we solve by squaring both side, the value of x are 4 and 2/3.

Therefore, the extraneous solution to the question is 4.

6 0
3 years ago
Can someone please help me ASAP
Jet001 [13]

Answer:

There are 5 solutions

Step-by-step explanation:

7 0
2 years ago
A carpool contains three kindergartners and five first-graders. if two children are ill, find the probability that at least one
sladkih [1.3K]

Solution: We are given that there are three kindergartners and five first-graders.

We have to find the probability that at least one of them is a kindergartner.

We know that:

P(at least one kindergartner) = 1 - P(no kindergartner) = 1 - P(all first-graders)

Now, P(all first-graders)=\frac{5}{8} \times \frac{4}{7}=\frac{5}{14}

Therefore, P(at least one kindergartner) =1-\frac{5}{14}

                                                                   =\frac{14-5}{14}=\frac{9}{14}=0.643                                      

3 0
2 years ago
Davaughn has 24 coins that are all dimes and quarters. The value of the coins is $3.75. How many dimes and how many quarters doe
qwelly [4]

Answer: 9 quarters and 5 dimes

Step-by-step explanation:

6 0
3 years ago
URGENT: WILL MARK BRAINLIEST
Molodets [167]

Good evening ,

______

Answer:

The second table.

___________________

Step-by-step explanation:

Look at the photos below for the answer.

:)

3 0
3 years ago
Read 2 more answers
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