Question

im confuse gusy can u help me?

Answer 1

Answer:

11. 333... which can also be written as 11 1/3.

Step-by-step explanation:

Sure.

√(6c - 4) = 8

Squaring both sides:

6c - 4 = 64

6c = 64 + 4 = 68

c = 68/6

  = 11. 333...

Answer 2

Answer:

$c=\dfrac{34}{3}$

Step-by-step explanation:

Given equation:

$\sqrt{6c-4}=8$

Square both sides:

$\implies (\sqrt{6c-4})^2=8^2$

$\implies 6c-4=64$

Add 4 to both sides:

$\implies 6c-4+4=64+4$

$\implies 6c=68$

Divide both sides by 6:

$\implies \dfrac{6c}{6}=\dfrac{68}{6}$

$\implies c=\dfrac{34}{3}$

Verify the solution by inputting the found value of c back into the equation:

$\implies \sqrt{6\left(\dfrac{34}{3}\right)-4}$

$\implies \sqrt{\dfrac{204}{3}-4}$

$\implies \sqrt{68-4}$

$\implies \sqrt{64}$

$\implies \pm 8$

Therefore, the solution of the found value of c is verified.