Answer:
2x^2 = 6x - 5.
-x^2 - 10x = 34.
These have only complex roots/
Step-by-step explanation:
3x^2 - 5x = -8
3x^2 - 5x + 8 = 0
There are complex roots if the discriminant 9b^2 - 4ac) is negative.
Here the discriminant D = (-5)^2 - 4*-5*8 = 25 + 160
This is positive so the roots are real.
2x^2 = 6x - 5
2x^2 - 6x + 5 = 0
D = (-6)^2 - 4*2*5 = 36 - 40 = -4
So this has no real roots only complex ones.
12x = 9x^2 + 4
9x^2 - 12x + 4 = 0
D = (-12)^2 - 4*9 * 4 = 144 - 144 = 0.
- Real roots.
-x^2 - 10x = 34
x^2 + 10x + 34 = 0
D = (10)^2 - 4*1*34 = 100 - 136 = -36.
No real roots = only complex roots.
ANSWER: -3/x^2
The negative exponent correlates to the x. In order for the exponent to be positive, it changes from the numerator to the denominator.
There is only one solution
Hello there!
Remember that we already have one course for $35, and $22.50 for each course after that. Our total is $170.
Our equation is:
22.50x + 35 = 170
First, subtract 35 from both sides.
22.50x = 135
Divide both sides by 22.50.
x = 6
Remember to add the additional class, so x is actually 7.
Your answer is 7 courses.
I hope this helps!