Answer:
x = 2.36603 or 0.633975
Step-by-step explanation:
Here we want to solve the quadratic equation using the completing the square method.
2x^2-6x + 3 = 0
divide through by 2 first;
x^2 -3x + 3/2 = 0
x*2 -3x = -3/2
Half the x term will be -3/2 and squaring it is 9/4
we add this to both sides
x^2-3x/2 + 9/4 = -3/2 + 9/4
(x-3/2)^2 = 3/4
Finding square root of both sides
x-3/2 = √(3/4)
x = 3/2 ± √(3/4)
x = 3/2 + √(3/4) or x = 3/2-√(3/4)
which becomes
x = 2.36603 or 0.633975
<u>Answer:</u>
<u>Explanation:</u>
We are given product of two consecutive odd integers is equal to 72.
Let one integer be x , then since these are consecutive and odd so the other integer will be equal to x + 1.
Their product is equal to 72. So,
x * (x + 1) = 72
=> 
=> is the required quadratic equation.
1. First consider the unknown original price as 'x'.
2. Then consider the rate of discount.
3. To find the actual discount, multiply the discount rate by the original amount 'x'.
4. To find the sale price, subtract the actual discount from the original amount 'x' and equate this to given sale price.
A part of a line that connects two endpoints I believe
Answer:
80 questions
Step-by-step explanation:
- 35/100 = 28/x
- 35x = 28(100)
- 35x = 2800
- x = 2800/35
- x = 80
