Question

6 x ^ { 2 } + 5 x + 1 = 0​

Answer 1

Answer:

If     $6 x ^ { 2 } + 5 x + 1 = 0$ then x = -1/2 and x = -1/3

Step-by-step explanation:

Given quadratic equation = $6 x ^ { 2 } + 5 x + 1 = 0$

This is in the form of $a x ^ { 2 } +b x + c = 0$

Then the product of a and c is the equation to the sum of m

a × c= 6 × 1= 6

3 + 2 = 5

and 3 × 2 = 6

 $6 x ^ { 2 } + 5 x + 1 = 0\\6 x ^ { 2 } + 3 x+ 2x + 1 = 0\\3x (2x + 1) + 1 (2x + 1) =0\\(2x + 1)(3x + 1) = 0$

(2x + 1)= 0 and (3x + 1) = 0

2x = -1 and 3x = - 1

x = -1/2 and x = -1/3