x² + 10x = 26
x² + 10x + 25 = 26 + 25
x² + 5x + 5x + 25 = 51
x(x) + x(5) + 5(x) + 5(5) = 51
x(x + 5) + 5(x + 5) = 51
(x + 5)(x + 5) = 51
(x + 5)² = 51
x + 5 = ±√(51)
- 5 - 5
x = -5 ± √(51)
x = -5 + √(51) or x = -5 - √(51)
22. Step by step: 2x^2+5x-3=0
factor the left side
(2x-1)(x+3)=0
set the factors to equal zero
2x-1=0 and x+3=0
x=1/2 x=-3
23. Use same technique.
3x^2-13x-10=0
factor the left side once more
(3x+2)(x-5)=0
set factors to zero
3x+2=0 and x-5=0
x=-2/3 x=5
First, let's declare that the average of the two integers would be 22.5. Using this, we are going to try and find two consecutive integers that have an average of 22.5. We can start to work outward from this average and see what integers work.
Instantly, we can test the integers 22 and 23. They have an average of 22.5 and sum to 45. Thus, they are our answer.
Answer:
For every 1 cup of banana you have to add 6 cups of apples. So it means there's six times as much apples as there is bananas. If there's 3 cups of apples, which is half of 6, it means the banana would now also have to be halved from 1 to half a cup.
Whatever you do to the bananas or the apples, you have to maintain the same ratio. Which is that apples is 6 times as much as bananas.
So 1 cup of apple would need to be divided by 6, to get banana. That would be approximately 1÷6= 0.167 cups
