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3 years ago

Solve by completing the square: x^2 + 7x + 4 = 0

Mathematics

1 answer:

Len [333]3 years ago

5 0

Answer:

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Add

to both sides of the equation.

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of

(

)

(

)

Add the term to each side of the equation.

(

)

(

)

Simplify the equation.

Tap for more steps...

Factor the perfect trinomial square into

(

)

(

)

Solve the equation for

Tap for more steps...

√

−

The result can be shown in multiple forms.

Exact Form:

√

−

Decimal Form:

0.53112887

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7.53112887

Step-by-step explanation:

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3 years ago

Alvin takes pictures with his smartphone. Of the pictures 5/6 are animals. 3/4 of the animals are dogs. What fraction of the pic

ollegr [7]

Answer:

$\dfrac{5}{8}$

Step-by-step explanation:

Alvin takes pictures with his smartphone.

Of the pictures $\frac{5}{6}$ are animals.

$\frac{3}{4}$ of the animals are dogs.

To find which fraction of all pictures are pictures with dogs, you can simply multiply two fractions:

$\dfrac{5}{6} \times \dfrac{3}{4} =\dfrac{15}{24} =\dfrac{5}{8}$

Another way to solve this question:

Let the number of all pictures be 24 (divisible by both 4 and 6).

Then the number of pictures with animals is

$\dfrac{5}{6} \times 24=5\times 4=20$

and the number of pictures with dogs is

$\dfrac{3}{4} \times 20=3\times 15$

Hence, the fraction of pictures with dogs of all pictures is

$\dfrac{15}{24}=\dfrac{5}{8}$

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