What are the solutions of the equation 6x2 +5x+1 = 0 ?
2 answers:
Answer:
see explanation
Step-by-step explanation:
Given
6x² + 5x + 1 = 0
To factorise the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
The factors are + 3 and + 2
Use these factors to split the x- term
6x² + 3x + 2x + 1 = 0 ← ( factor the first/second and third/fourth terms )
3x(2x + 1) + 1 (2x + 1) = 0 ← factor out (2x + 1) from each term
(2x 1)(3x + 1) = 0
Equate each factor to zero and solve for x
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = -
3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = -
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He needs to drink 3 cups MORE to meet his daily requirement.
Step-by-step explanation:
Here, as given in the question:
The total need for water = half a gallon = 0.5 gallon
1 gallon = 128 oz
So, 0.5 gallon = 128/2 = 64 oz
Now, the capacity of 1 cup = 3.5 oz
The number of cups already drank by the person = 15 cups
So, the total amount of water already taken by him
= 15 cups x Capacity of 1 cup
= 15 x (3.5 oz) = 52.5 oz
So, the amount of water left to be drink by him
= Total Need - Already covered
= 64 oz - 52 . 5 oz = 11.5 oz
Now, as 1 cup = 3.5 oz
So, 11.5 oz has cups = 3.28 cup≈ 3 cups
Hence, he needs to drink 3 cups MORE to meet his daily requirement.