Question

Solve the equation. 6x=2x²+1 Please select the best answer from the choices provided A B C D

Answer 1

`x = ( 3\pm \sqrt7)/(2)`

Explanation:

The given equation to us ,

`\implies 6x = 2x^2 + 1`

So we will use quadratic formula and solve out for x .

`\implies 6x = 2x^2 + 1 \\\\\implies 2x^2 -6x + 1 = 0 \\\\\implies x = (-b\pm √( b^2-4ac))/(2a) \\\\\implies x = ( 6 \pm √( (-6)^2-4(2)(1) ))/(2(2)) \\\\\implies x = ( 6 \pm √( 36 - 8 ))/(4) \\\\\implies x = ( 6 \pm √( 28))/(4) \\\\\implies \boxed{\boxed{ x = ( 3\pm \sqrt7)/(2) }}`