Answer:
x(2x-17)
Step-by-step explanation:
2x^2 -11x-6x
2x^2-17x
x is common
x(2x-17)
Answer:
8 Batches
Step-by-step explanation:
Simple. Since it takes 2/3 of a cup for one batch, we divide 5 1/3 by 2/3, wich equals 8.
Answer: y=0.074x+50.48
Step-by-step explanation:
Answer:
The Solution of the equation is
x= 5 ±
Step-by-step explanation:
We are supposed to find the solution of the equation by completing square method
our given equation is
2x² + 20x + 10 = 0
Dividing whole equation by 2
we will get
x² + 10 x + 5 = 0
Now we will write the middle term in factor form to see what we will be needing to make it perfect square
it would be written as
x² + 2(5) x + 5 = 0
Now adding 20 on both sides we get
x² + 2(5) x + 5 + 20 = 20
x² + 2(5) x + 25 = 20
(x)² + 2(5) x +(5)² = 20
Now we have the form of a²+2(a)(b) + b²
And also we know that
a²+2(a)(b) + b² = (a+b)²
So our equation becomes
(x+5)² = 20
Taking square root of both sides it becomes
![\sqrt{(x+5)^{2} }=\sqrt{20}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x%2B5%29%5E%7B2%7D%20%7D%3D%5Csqrt%7B20%7D)
square cuts out with square root so
it becomes
x+5 = ±![\sqrt{20}](https://tex.z-dn.net/?f=%5Csqrt%7B20%7D)
We know that ![\sqrt{20}=2\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B20%7D%3D2%5Csqrt%7B5%7D)
So it becomes
x+5 =± ![2\sqrt{5}](https://tex.z-dn.net/?f=2%5Csqrt%7B5%7D)
Subtracting 5 from both sides
it becomes
x= 5 ± ![2\sqrt{5}](https://tex.z-dn.net/?f=2%5Csqrt%7B5%7D)
So
The Solution of the equation is
x= 5 ±