To find the nature of solutions of a quadratic equation we can find the discriminant.
The standard form of a quadratic equation is ax² + bx + c = 0.
Formula to find the discriminant = b² - 4ac.
So, first step is to compare the given equation with the above equation to get the value of a, b, and c.
After comparing the two equations we will get a =1, b = 9 and c = 20.
Next step is to plug in these value in the formula of discriminant. So,
Discriminant = 9² - 4(1)(20)
= 81 - 80
= 1
Since 1 is a positive perfect square number.
So, we will get two real solutions for this equation.
Hence, the correct choice is C.
Hope this helps you.
1. Regroup terms
x(x+5)=104
2. Expand
x^2+5x=104
3. Move all terms to one side
x^2+5x-104=0
4. Factor x^2+5x-104
(x-8)(x+13)=0
5. Solve for x
x=8 or x=-13
Since x<0 is not possible in this case, x=8
6. Finding the dimensions
We know that one side has to be x+5, and now that we know x:
8+5=13
13*8=104
The dimensions are 13 and 8, have a nice day :D
The two equations represent the proportional relationship.
y=3x and y=12x are proportional relation ship equations
proportion equations can be defined as
If we change x the y will change in the same proportion.
<h3>What is the proportional relationship?</h3>
Proportional relationships are relationships between two variables where their ratios are equivalent.
Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other.
That constant is known as the constant of proportionality.
proportional relationship equation contain (0,0) points
If we put x=0
This will give us,y=0
If we put x=0, in y=12x
It will give y=0
put if we put x=0 in
y=3x it will give us y=0
hence these two equations represent the proportional relationship.
To learn more about the equation visit:
brainly.com/question/2972832
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