<span>(2x – 1)(x + 7) = 0
2x-1=0
2x=1
x=1/2
x=0.5
x+7=0
x= -7
</span>
Greetings!To find the length of any side of a
right triangle, you can use the
Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
Input the information from the diagram into the formula:
Expand each term:



Combine like terms:
Add -169 to both sides:

Factor out the Common Term (2):
Factor the Complex Trinomial:



Set Factors to equal
0:


or


However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)
The Solution Is:

I hope this helped!
-Benjamin
Answer:
Fgh= -5x^3-^2+45x+9
Gfh= (3-x)(5x+1)(x+3)
I don't think you can do anything with the second one.
Step-by-step explanation:
Answer:
The discriminant is −4, so the equation has no real solutions.
Step-by-step explanation:
In the equation 0 = x² - 4x + 5, a is 1, b is -4, and c is 5.
Plug in these values into b² - 4ac, and simplify:
b² - 4ac
(-4)² - 4(1)(5)
16 - 20
= -4
So, the discriminant is -4. This means that the equation has no real solutions, because the discriminant is a negative number.
The correct answer is that The discriminant is −4, so the equation has no real solutions.
Get a hint and tell me when you get a hint of where the x and I’ll tell you