Answer:
whats your insta?
Step-by-step explanation:
Answer:
k = 12
Step-by-step explanation:
Given:
The equation ![Q(x)=2x^2-kx+18](https://tex.z-dn.net/?f=Q%28x%29%3D2x%5E2-kx%2B18)
To find:
Value of
for which the given equation has one distinct real solution.
Solution:
The given equation is a quadratic equation.
There are always two solutions of a quadratic equation.
For the equation:
to have one distinct solution:
![b^2 - 4ac = 0](https://tex.z-dn.net/?f=b%5E2%20-%204ac%20%3D%200)
Here,
a = 2,
b = -k and
c = 18
Putting the values, we get:
![(-k)^2 - 4\times 2\times 18 = 0\\\Rightarrow k^2 = 18\times 8\\\Rightarrow k^2 =144\\\Rightarrow k = 12](https://tex.z-dn.net/?f=%28-k%29%5E2%20-%204%5Ctimes%202%5Ctimes%2018%20%3D%200%5C%5C%5CRightarrow%20k%5E2%20%3D%2018%5Ctimes%208%5C%5C%5CRightarrow%20k%5E2%20%3D144%5C%5C%5CRightarrow%20k%20%3D%2012)
The equation becomes:
![Q(x)=2x^2-12x+18](https://tex.z-dn.net/?f=Q%28x%29%3D2x%5E2-12x%2B18)
And the one root is:
![2(x^2-6x+9 ) = 0\\\Rightarrow 2(x-3)^2=0\\\Rightarrow x = 3](https://tex.z-dn.net/?f=2%28x%5E2-6x%2B9%20%29%20%3D%200%5C%5C%5CRightarrow%202%28x-3%29%5E2%3D0%5C%5C%5CRightarrow%20x%20%3D%203)
Answer:
x+4y is not change because it's parallel what changes is the result 8 + 4 × 2 = 16 so the equation is x + 4y = 16
Hey!
Answer:
4/1
Step-by-step explanation:
- The multiplicative inverse of a number is the reciprocal of it. (a/b → b/a).
- Basically you divide 1 by the other number. (1 ÷ 1/4 = 4 or 4/1).
Hope This Helps :)
(4*2)-(2*-3)+(5*5)= 8-6+25= 27