solve for x 4x^2=-20x-25 if there is more than one solution, separate them with commas. if there is no solution, click on "no solution."

Respuesta :

[tex]4 x^{2} +20x+25=0[/tex]
[tex]a x^{2} +bx+c=0[/tex]
Δ=[tex] b^{2} -4ac[/tex]
Δ=[tex] 20^{2} - 4*4*25[/tex]
Δ=400 - 400 = 0

if 
Δ > 0 equation has 2 solution
Δ = 0 equation has 1 solution
Δ < 0 no real solution

[tex]x= \frac{-b}{2a} [/tex]

[tex]x_{0} = \frac{-20}{2*4} = \frac{-20}{8} = -2.5[/tex]

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