Answer:
4, 10
Step-by-step explanation:
The value for the third side of the triangle is given by
b-a < n < b+a where a and b are the two other sides of the triangle and b>a
7-4 < n < 7+4
3 < n < 11
Since n is an integer
4 would be the smallest value and 10 would be the largest
Answer:
Step-by-step explanation:
The only thing you need to watch carefully is the divisor which in this case is x - 3. The divisor, in synthetic division, is the number that will make the binomial go to 0.
x - 3 =0
x = 3
So the divisor is 3.
3 || 2 4 -35 15
6 30 -15
======================
2 10 -5 0
So the quotient is
2x^2 + 10x - 5 with no remainder
We can say that ‘0’ is also a rational number since it can represent it in many forms of 0/1, 0/2, 0/3, etc. So yea it is hope this helped!
2x + 5 =7
Subtracting 5 from both sides
= 2x +5-5 = 7-5
=2x = 2
= x = 2/2
=x = 1
Answer:
x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)
Step-by-step explanation:
Solve for x:
-8 + x^2 + (x^2 - 8)^2 = 20
Expand out terms of the left hand side:
x^4 - 15 x^2 + 56 = 20
Subtract 20 from both sides:
x^4 - 15 x^2 + 36 = 0
Substitute y = x^2:
y^2 - 15 y + 36 = 0
The left hand side factors into a product with two terms:
(y - 12) (y - 3) = 0
Split into two equations:
y - 12 = 0 or y - 3 = 0
Add 12 to both sides:
y = 12 or y - 3 = 0
Substitute back for y = x^2:
x^2 = 12 or y - 3 = 0
Take the square root of both sides:
x = 2 sqrt(3) or x = -2 sqrt(3) or y - 3 = 0
Add 3 to both sides:
x = 2 sqrt(3) or x = -2 sqrt(3) or y = 3
Substitute back for y = x^2:
x = 2 sqrt(3) or x = -2 sqrt(3) or x^2 = 3
Take the square root of both sides:
Answer: x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)
