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Mandarinka [93]
3 years ago
11

Explain how to solve 5x2-3x=25 by completing the square. What are the solutions

Mathematics
1 answer:
Vilka [71]3 years ago
4 0

5x2-3x=25

Divide each term by 5:

x^2 - 3/5x = 5

Make a trinomial square of the left side by taking the square of half of the coefficient of x.

The coefficient of x is -3, so the square would be (-3/10)^2

Add that to both sides of the equation.

Now you have:

x^2 - 3/5x + (-3/10)^2 = 5 + (-3/10)^2

Simplify both sides:

x^2 -3/5x +9/100 = 509/100

Factor the trinomial:

(x-3/10)^2 = 509/100

Solve for x, , take the square root of both sides:

x-3/10 = +/-√509 / 100

Simplify the right side:

x-3/10 = +/-√509/10

Add 3/10 to both sides:

X = +/-√509/10 + 3/10 ( this is the exact form)

You can then find the decimal answer if needed.

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Marcy played the piano for 45 mins she stopped playing at 4:15 pm at what time did she start playing the piano
elixir [45]
We know that
1 hour----------> 60 min

step 1
convert hours to minutes
<span>4:15---------> 4 hour +15 minutes------> 4*60+15-----> 255 minutes

step 2
</span><span>subtract 45 minutes
</span>255-45--------> 210 minutes

step 3
convert to hour
1 hour----------> 60 min
x-----------------> 210 min
X=210/60---------> X=3.5 hour
3.5 hour
that means
3 hour+0.5 hour
and 0.5 hour is-----------> 0.5*60----> 30 minutes
therefore
3.5 hour-------> 3 hour +30 minutes-------->3:30 pm

the answer is
3:30 pm

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4 years ago
If a 12-sided fair die is rolled twice, find the probability that both rolls have a result of 8.
Diano4ka-milaya [45]

Answer:

1 in 144

Step-by-step explanation:

There is one 8 on a 12-sided die, so the probability of rolling an 8 once is \frac{1}{12}.

We are rolling twice, so (\frac{1}{12})^{2} =\frac{1}{144}.

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3 years ago
What angles are they ?
romanna [79]

number 2 is your answer

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The answer is. 0.125 I Think
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