Answer:
the other root is 8/3
q is 40
Step-by-step explanation:
Consider the product
(x -a)(x -b) = x^2 -(a+b)x +ab = 0
This is a quadratic with roots "a" and "b". We see that the x coefficient (-(a+b)) is the opposite of the sum of the roots, and that the final constant is their product. The leading coefficient in this quadratic is 1.
Dividing the given quadratic by 3, we see that the sum of the two roots is -7/3. So, the other root is ...
r = -7/3 -(-5) = 8/3
The product of the roots is -q/3, so ...
-q/3 = -5(8/3) = -40/3
q = 40 . . . . . . . . . . . . . multiply by -3
The other root is 8/3; the value of q is 40.
This one I believe is easier than it looks. First you want to start by isolating the part with the exponent. To do this start by dividing both sides by (1/4) and you get….
(5/6)^x= (25/36)
Immediately, it’s noticeable that 25 is 5^2 and 36 is 6^2
So you can rewrite this equation as
(5/6)^x=(5/6)^2
Because the bases are the same now, all you need to do is solve for the exponents. In which you get x=2.
Answer:
it should be 8 im not sure
Step-by-step explanation:
If x is any given number than I will use the Number five
Your equation will look like this
5^5=25