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rusak2 [61]
3 years ago
5

Solve Quadratic Equations by Factoring:

Mathematics
1 answer:
mr_godi [17]3 years ago
5 0

Answer:

  1. x = 0 or 1
  2. x = ±i/4
  3. x = -5 (twice)

Step-by-step explanation:

Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.

1. x^2 -x = 0

  x(x -1) = 0 . . . . . x = 0 or 1

__

2. 16x^2 +1 = 0

This is the "difference of squares" ...

  (4x)^2 - (i)^2 = 0

  (4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)

__

3. x^2 +10x +25 = 0

  (x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2

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marusya05 [52]
Wouldn't the answer be -23/4
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3 years ago
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Please help ASAP 30 pts + brainliest to right/best answer
azamat

Answer:


Step-by-step explanation:There's nothing there to solve. But you can simplify the expression.-- The difference of two logs is the log of the quotient. log₆(25) - log₆(5) = log₆(25/5) = log₆(5) .That may be all you can do with it.If they want you to go ahead and actually find the value of log₆(5) ...I don't remember how to do that. If it was log₁₀(5) or ln(5) ,those would be easy, because they're right on your calculator.But the log to the base of (anything else other than 10 or 'e') takesan additional step, which I don't remember. brainliest pls?



3 0
3 years ago
If you flipped two coins simultaneously, for a total of 24 times, how many times, on average, would you expect to get a head and
Bingel [31]

When two coins are flipped simultaneously 24 times, on average 12 times we will get a head and a tail.

For given question,

When two coins are tossed simultaneously, the sample space is as follows:

S = { HH, HT, TH, TT} where H denotes Head and T denotes tail.

Using the formula of probability,

P = Number of favorable outcomes/total number of outcomes,

we get,

P(HT) = 1/4

and

P(TH) = 1/4

We know that the occurrence of two mutually exclusive events is the sum of their individual probabilities.

So, P(Head on one and Tail on other)

= P(HT) + P(TH)

= 1/4 + 1/4

= 2/4

= 1/2

= 0.5

So, when two coins flipped simultaneously, the probability of flipping 2 coins and getting a head and a tail is 0.5

In this question, we need to find the number of times getting a head and a tail when two coins are flipped simultaneously 24 times

= 0.5 × 24

= 12

Therefore, When two coins are flipped simultaneously 24 times, on average 12 times we will get a head and a tail.

Learn more about the probability here:

brainly.com/question/3679442

#SPJ4

8 0
1 year ago
A new patio is in the shape of a square. On a scale drawing, the vertices of the patio's coordinates are: (6,1.5), (6,-5.5), (-1
Shkiper50 [21]
Seven units long. The distance between 2 sides, in this example is 6, and -1. The distance between 6 and -1 is 7, so when you add units, you get 7 units.
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Two sporting goods stores are having discount sales on basketballs at one store a basketball is on sale for 25% off the regular
Reil [10]

Answer:

0.66

Step-by-step explanation:

24.95 x 25%=6.23

24.94 - 6.23 = 18.72

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25.80 - 7.74 = 18.06

18.72 -18 .06 = 0.66

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