Sabendo que "K" satisfaz a equação {2(k-8) + 3(-k+1) = -4k +11} Os valores reais de x que satisfazem a equação 15x² - kx + 1 = 0 são: A) 1/2 e 1/5
B) 1/2 e 2/5
C) 1/7 e 1/3
D) 1/5 e 1/3
E) 2/5 e 1/7

D) 1/5 e 1/3

Step-by-step explanation:

You have the following quadratic equation:

          (1)

In order to find the values of x that are solution to the equation (1), you first find the solution for k in the following equation:

Next, you replace the previous value of k in the equation (1) and you use the quadratic formula to find the roots:

Then, the roots of the equation (1) are

D) 1/5 e 1/3

the thermometer is precise but not accurate

step-by-step explanation:

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square