Show that p(x)=2x3−5x2−10x+5 has a real root.
1 answer:
Let's pick an arbitrary value of 5.
Let's pick another arbitrary value: 1
Between these two values, the polynomial is continuous. This means for the two polynomial points to be satisfied, there must be at least one root between these two points.
We can either use the Intermediate Value Theorem or Newton's method to make a better approximation from there.
Let's pick another arbitrary value: 1
Between these two values, the polynomial is continuous. This means for the two polynomial points to be satisfied, there must be at least one root between these two points.
We can either use the Intermediate Value Theorem or Newton's method to make a better approximation from there.
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Answer:
The atomic radius increase as you go from the top to the bottom of a chemical family
Step-by-step explanation:
The atomic radius is defined as one-half the distance between the nuclei of identical atoms that are bonded together.
The atomic radius of atoms generally increases from top to bottom within a group. As the atomic number increases down a group, there is again an increase in the positive nuclear charge. However, there is also an increase in the number of occupied principle energy levels. Higher principal energy levels consist of orbitals which are larger in size than the orbitals from lower energy levels. The effect of the greater number of principal energy levels outweighs the increase in nuclear charge and so atomic radius increases down a group.
Answer:
x = 70
Step-by-step explanation:
Step 1: Simplify both sides of the equations.
Step 2: Subtract 5/7x from both sides.
Step 3: Multiply both sides by 70/(-43).
Step 4: Check if solution is correct.
Therefore, x = 70.