How many real number solutions does this have 3x^2 + 8x +7=0
1 answer:
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Multiplying both sides by gives
so that substituting and hence
gives the linear ODE,
Now multiply both sides by to get
so that the left side condenses into the derivative of a product.
Integrate both sides, then solve for , then for
:
-> First, we want to put it into more of a slope-intercept form so we can graph.
y - 4 = 1/3 (x + 2)
y = 1/3 (x + 2) + 4
y = 1/3x + 2/3 + 4
y = 1/3x + 14/3
-> Next, we will plot the point (0, 14/3) because it is the y-intercept of our equation
-> Last, we will move up one and to the right three, following the pattern of "rise over run" with our slope of 1/3
[] The finished graph is attached
[] I have also graphed the original equation to show that they overlap, showing that our simplification works
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
