Answered

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Plz help me ASAP

(x+2)^2+1=50

this is solving quadratic functions by square roots



Sagot :

X1= -9, X2= 5 I hope I helped
Tasyha

Answer:

x = -9 and x = 5

Step-by-step explanation:

[tex] {(x + 2)}^{2} + 1 = 50[/tex]

[tex] = {x}^{2} + 4x + 4 + 1 = 50[/tex]

[tex] = {x}^{2} + 4x + 5 = 50[/tex]

[tex] = {x}^{2} + 4x + 5 - 50 = 0[/tex]

[tex] = {x}^{2} + 9x - 5x - 45 = 0[/tex]

[tex] = x \times (x + 9) - 5(x + 9) = 0[/tex]

[tex] = (x + 9) \times (x - 5) = 0[/tex]

[tex] = x + 9 = 0[/tex]

[tex] x - 5 = 0[/tex]

[tex] = x = - 9[/tex]

[tex]x = 5[/tex]

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