Answer:
IMQOEK
Step-by-step explanation:
We are given :
![\sqrt{4x^{2}-20x+25}](https://tex.z-dn.net/?f=%20%5Csqrt%7B4x%5E%7B2%7D-20x%2B25%7D%20%20%20)
Step 1: factor the part inside square root
The function given inside square root is of quadratic form.
So let us try to factorise it using AC method.
Here A*C = 4*25 = 100
so we have to find factors of 100 that add up to give -20.
the two factors are -10 and -10.
Rewriting the function :
![4x^{2} -20x+25](https://tex.z-dn.net/?f=%204x%5E%7B2%7D%20-20x%2B25%20)
=![4x^{2} -10x-10x+25](https://tex.z-dn.net/?f=%204x%5E%7B2%7D%20-10x-10x%2B25%20)
=![2x(2x-5) - 5(2x-5)](https://tex.z-dn.net/?f=%202x%282x-5%29%20-%205%282x-5%29%20)
=![(2x-5)^{2}](https://tex.z-dn.net/?f=%20%282x-5%29%5E%7B2%7D%20%20)
Step 2:
Now we take square root of the factorised form
![\sqrt{(2x-5)^2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%282x-5%29%5E2%7D%20%20)
= ![2x-5](https://tex.z-dn.net/?f=%202x-5%20)
Answer : (2x-5)
Answer:
1
Step-by-step explanation:
Easy because whenever the exponent is 0 the answer must always be 1 then the exponent on the outside it would still be 1.
Answer:
X = 42
Step-by-step explanation:
What divided by 7 equals 6..... 42! to prove we are right let us plug it into our equation.
42 / 7 = 6
DING DING DING Correct !
Answer:
$60, $90
Step-by-step explanation:
Amount paid when 50% off
=$ 120 - 50/100 * 120 = $ 120 - $60 = $60
Amount paid when 25% off
=$ 120 - 25/100 * 120 = $ 120 - $30 = $90