27x²y - 43xy²
Factor of 27
1 x 27
3 x 9
Factor of 43
1 x 43
As you can see, there is no common number between 27 and 43, thus these numbers cannot be factored and must remain as is.
x and y are present in both terms, so we factor them.
xy(27x - 43y)
Answer:
To solve this problem, we need to use the following two facts:
1) If a quadratic equation has integer coefficients only, and if one of the roots is a + √b (where a and b are integers), then a - √b is also a root of the equation.
2) If r and s are roots of a quadratic equation, then the equation is of the form x^2 – (r +s)x + rs = 0.
Since we know that 1 - √2 is a root of the quadratic equation, we can let:
r = 1 + √2
and
s = 1 - √2
Thus, r + s = (1 + √2) + (1 - √2) = 2 and rs = (1 + √2)(1 - √2) = 1 – 2 = -1.
Therefore, the quadratic equation must be x^2 – 2x – 1 = 0.
Answer: D
Step-by-step explanation:
Answer:
x=−2 and y=−4
Step-by-step explanation:
I will solve your system by substitution.
(Add -4x to both sides)
(Add 48 to both sides)
(Divide both sides by -4)
(Simplify both sides of the equation)
(Add 2y to both sides)
(Add -108 to both sides)
(Divide both sides by 49/2)
(Simplify both sides of the equation)
Answer:
x=−2 and y=−4
I hope this helps :)
Answer:
B: 1 1/2
Step-by-step explanation:
just do 5.75 - 4.25 and that gives you 1.5 which is the same as 1 1/2