Question

solve using formula only 2x/3 = x^2/6 -1/3​

Answer 1

Answer:

x is (2 ±√6)/2

Step-by-step explanation:

2x/3 = x²/6 - 1/3

2x/3 = (x² - 2)/6

2x = (x² - 2)/2

2(2x) = x² - 2

4x = x² - 2

x² - 4x - 2 = 0

= − ± √ ²− 4 /2

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

²− 4 − 2 = 0  

x2−4x−2=0  

a=1  

b=−4  

c=−2

= − ( − 4 ) ±√ ( − 4 ) 2 − 4 ⋅ 1 ( − 2 ) / 2 . 1

x = 2 ±√6/2