Respuesta :
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
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:
x = 1 , [tex]\frac{-5}{3}[/tex].
Step-by-step 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 = [tex]\frac{-5}{3}[/tex].
For x -1 =0
x = 1 .
Therefore, x = 1 , [tex]\frac{-5}{3}[/tex].
