Answer:
Step-by-step explanation:
2x⁴ + 4x³ - 30x² = 2x²*(x² + 2x - 15)
x² + 2x - 15
Sum = 2
Product = -15
Factors = 5 ; (-3)
x² + 2x - 15 = x² + 5x - 3x - 3 *5
= x(x + 5) - 3(x + 5)
= (x + 5)(x - 3)
2x⁴ + 4x³ - 30x² = (2x²) (x + 5)(x - 3)
Given
We have to set the restraint
because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:
The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.
Similarly, we have
So, we have to impose
Squaring both sides, we have
The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.
Answer:
13 protons
14 neutrons
13 electrons
Step-by-step explanation:
protons and electrons are mostly always the same
Answer:
x=23
Step-by-step explanation:
The two angles are equal so you can set 8x-77 and 3x+38 equal to each other and write it as:
8x-77=3x+38
Then you get like terms on the same sides by subtracting 3x from both sides and getting:
5x-77=38
Then you add 77 to both sides and get:
5x=115
Then you divide both sides by 5 and get x=23
Answer:
oh so for one get them to look alike.. sooo keep 5/16 and change 1 7/8 to
1 14/16 and then change it to 30/16 then simply compare 5 can go into 30 6 times soooooo it can go into 1 & 7/8 6 times
Step-by-step explanation:
