Question

2x²+5×+3=0 que tipo de ecuacion es​

Answer 1

X =-1,-3/4 !!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 2

This is a quadratic equation.

`x = -1` OR
`x = -(3)/(2)`

Explanation:

This is a quadratic equation, which can be solved by using either the quadratic formula or the double bubble method

Double bubble method:

`2x^(2) + 5x + 3 = 0`

follows the general format of a quadratic equation:

`ax^(2) + bx + c = 0`

Based on the quadratic equation in question:

`a = 2; b = 5; c = 3`

Step 1: Take the product of a and c:

Product is (2)(3) = 6

Step 2: List factors of 6:

1 x 6 = 6

2 x 3 = 6

3 x 2 = 6

6 x 1 = 6

Step 3: Choose the most suitable pair of factors that would add or subtract to equal to b:

Pair of factors: 2 and 3

Step 4: Use the chosen pair of factors to rewrite the ‘bx’ term (i.e.
`5x`):

`2x^(2) + 2x + 3x + 3 = 0`

Step 5: Factorise by grouping:

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

Step 6: Extract the common factor expression (which is ‘
`x + 1`’):

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

Step 7: Product of two terms or expressions equal to zero. Therefore, we will have an ‘either or’ situation:

either
`x + 1 = 0`

from which
`x = -1`

or
`2x + 3 = 0`

from which
`2x = -3`

∴
`x = -(3)/(2)`