Hello!
a³ = 4a² + 21a
Move all "a" to one side:
0 = -a³ + 4a² + 21a
Factor out "-a" from the equation:
0 = -a(a² - 4a - 21)
Solve for a by factoring:
0 = -a(a - 7)(a + 3)
Solve for the roots by setting each factor equal to 0:
-a = 0
a = 0
a - 7 = 0
a = 7
a + 3 = 0
a = -3
Solutions: a = 0, -3, 7
The slope is 0.3
Step-by-step explanation:
Given
Required:
Fill in the gap and calculate the slope
In
and x is ??
Substitute 9 for y in
Collect Like Terms
So:
In
and y is ??
Substitute 5 for x in
So:
Calculating the slope (m)