Question

Select the two values of x that are the roots of this equation 2x-5=-3x^2

Answer 1

2x-5=-3x^2
3x^2 +2x - 5 = 0
(3x + 5)(x - 1)= 0
3x + 5 = 0 ; x = -5/3
x - 1 = 0 ; x = 1

answer
x = 1 and x = -5/3

Answer 2

x = 1 ,
`(-5)/(3)`.

Explanation:

Given : 2x-5=-3x².

To find : select the two values of x that are the roots of this equation .

Solution : We have given 2x - 5 = - 3x².

Making the in form of ax² + bx +c = 0

On adding both sides by 3x².

3x² + 2x -5 = 0.

On factoring

3x² -3x + 5x -5 = 0.

On taking 3x from first two terms and 5 from last two terms .

3x ( x -1) + 5( x - 1) = 0.

On grouping

(3x + 5 ) ( x -1) = 0.

For 3x + 5 = 0.

3x = -5 .

On dividing by 3 both sides

x =
`(-5)/(3)`.

For x -1 =0

x = 1 .

Therefore, x = 1 ,
`(-5)/(3)`.