which method of solving the quadratic equation would be the easiest to find the soulution for 2x^2 - 4x-3=0

1 answer:

6 0

Solve for x over the real numbers:
2 x^2 - 4 x - 3 = 0

Divide both sides by 2:
x^2 - 2 x - 3/2 = 0

Add 3/2 to both sides:
x^2 - 2 x = 3/2

Add 1 to both sides:
x^2 - 2 x + 1 = 5/2

Write the left hand side as a square:
(x - 1)^2 = 5/2

Take the square root of both sides:
x - 1 = sqrt(5/2) or x - 1 = -sqrt(5/2)

Add 1 to both sides:
x = 1 + sqrt(5/2) or x - 1 = -sqrt(5/2)

Add 1 to both sides:
Answer: x = 1 + sqrt(5/2) or x = 1 - sqrt(5/2)

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The distance between Taylor’s house and her school is 300,000 centimeters.

Sergio [31]

Answer:

30 km

Step-by-step explanation:

1 kilometer = 100 meters.

1 meter = 100 cm

therefore, 1 km = 10,000

and then, 300000 cm is 30 km

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Let a, b, c and x elements in the group G. In each of the following solve for x in terms of a, b, and c.

alina1380 [7]

Answer:

The answer is $x=a^{-1}cb^{-1}$ .

Step-by-step explanation:

First, it is important to recall that the group law is not commutative in general, so we cannot assume it here. In order to solve the exercise we need to remember the axioms of group, specially the existence of the inverse element, i.e., for each element $g\in G$ there exist another element, denoted by $g^{-1}$ such that $gg^{-1}=e$ , where $e$ stands for the identity element of G.