Respuesta :
x = -4 or x = 2.5
Step-by-step explanation:
2x^2 + 3x - 20 = 0
(x + 4) (2x - 5) = 0
either x + 4 = 0 or 2x - 5 = 0
x = -4 or x = 2.5
After factorizing the equation, we get "x = 4 and x = -5".
Given:
- [tex]2x^2+3x-20=0[/tex]
By applying the factorization, we get
→ [tex]2x^2+5x-8x-20=0[/tex]
By taking common, we get
→ [tex]2x(x+5)-8(x+5)=0[/tex]
→ [tex](2x-8) (x+5)=0[/tex]
→ [tex]2x-8=0[/tex]
[tex]x = \frac{8}{2}[/tex]
[tex]x = 4[/tex]
or,
→ [tex]x +5=0[/tex]
[tex]x =-5[/tex]
Thus the above approach is right.
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