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Oksi-84 [34.3K]
3 years ago
6

Which method is the most efficient method to use to solve x^2+4x+3=0

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
3 0

Answer:

Factoring

Step-by-step explanation:

To solve the equation x ^ 2 + 4x + 3 = 0, you must apply the factoring method.

You must find two real numbers b and c such that:

b + c = 4

and

b(c) = 3

Then the expression:

x ^ 2 + 4x + 3 = 0 = (x + b)(x + c)

You can prove that:

b = 3\\c = 1

So

x ^ 2 + 4x + 3 = 0 = (x + 3)(x + 1)

(x + 3)(x + 1) = 0

x +3 = 0 or x + 1 = 0

x = -3 or x = -1

AlekseyPX3 years ago
3 0

X will be -1 and -3!

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What is the rate of change for this function? 29. y = 5 ​
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6 0
2 years ago
Change from rectangular to spherical coordinates. (let ≥ 0, 0 ≤ ≤ 2, and 0 ≤ ≤. ) (a) (5, 5 3 , 10 3 )
Nikolay [14]

The spherical coordinate that is converted from the given rectangular coordinate is (12.62, 46.67°, 35.3°).

Here, the given rectangular coordinate is (5, 5.3, 10.3).

Therefore, the value of 'x' is 5, the value of 'y' is 5.3 and the value of 'z' is 10.3.

We can convert the rectangular coordinate (x, y, z) into spherical coordinate (ρ, θ, Φ) by the below mentioned method.

We know, ρ² = (x²+y²+z²)

Therefore, ρ

= √(x²+y²+z²)

= √[(5)²+(5.3)²+(10.3)²]

= √(25+28.09+106.09)

= √(159.18)

= 12.62

Again, tan θ = (y/x)

Therefore, θ = tan⁻¹(y/x) = tan⁻¹(5.3/5) = tan⁻¹(1.06) = 46.67°

Similarly, cos Φ = (z/ρ)

Therefore, Φ = cos⁻¹(z/ρ) = cos⁻¹(10.3/12.62) = cos⁻¹(0.816) = 35.3°

Here, the spherical coordinate is (ρ, θ, Φ).

Therefore, the required spherical coordinate for the given rectangular coordinate is (12.62, 46.67°, 35.3°).

Learn more about the conversion of a rectangular coordinate to a spherical coordinate here: brainly.com/question/17185505

#SPJ4

8 0
1 year ago
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