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4 years ago

Solve x for the equation 2x^2-5x+1=3

Mathematics

1 answer:

TEA [102]4 years ago

8 0

Steps:

subtract 3 from both sides:

2x²-5x+1 - 3 = 3 - 3

Simplify:

2x² - 5x - 2 = 0

Solve with the quadratic formula :

for a = 2 , b = - 5 , c = - 2

x₁ = - ( - 5 ) +√ ( -5 )² - 4 * 2 ( - 2 ) / 2 * 2 =

x₁ = 5 + √ 41 / 4

x₂ = - ( - 5 ) - √ ( -5 )² - 4 * 2 ( - 2 ) / 2 * 2

x₂ = 5 - √ 41 / 4

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Answer:

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Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a red card

joja [24]

Answer: $\dfrac{3}{51}$

Step-by-step explanation:

Given : The total number of cards in a deck = 52

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There are two types of red cards : diamond and heart.

Number of diamond cards = 13

The probability that the first card is a diamond :-

$\dfrac{13}{52}=\dfrac{1}{4}$

Since diamond is also a red card.

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The number of red cards left = 12

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Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-

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