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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 9: Giải phương trình: a, √9x + 9 + √x + 1 = 20 b, √x – 8 = √2x – 3

Toán Lớp 9: Giải phương trình:
a, √9x + 9 + √x + 1 = 20
b, √x – 8 = √2x – 3

Comments ( 2 )

  1. a)$\text{ĐKXĐ : x≥ -1}$ 
    $\sqrt{9x+9}$ + $\sqrt{x+1}$ = 20
    ⇔ 3$\sqrt{x+1}$ + (\sqrt{x+1}) = 20
    ⇔ 4 $\sqrt{x+1}$ = 20
    ⇔ $\sqrt{x+1}$ = 5
    ⇔ (\sqrt{x+1})^2 = 5^2
    ⇔ x + 1 = 25
    ⇔ x = 24 (TM)
    $\text{Vậy …. }$
    b)$\text{ĐKXĐ : x≥ 8 }$
    \sqrt{x-8} = \sqrt{2x-3}
    ⇔ (\sqrt{x-8})^2 = (\sqrt{2x-3})^2
    ⇔ x – 8 = 2x – 3
    ⇔ x – 2x = 8 – 3
    ⇔ -x = 5 
    ⇔ x = -5 (L)
     $\text{Vậy …. }$

  2. a) \sqrt{9x+9}+\sqrt{x+1}=20 (x>=-1)
    ⇔\sqrt{9(x+1)}+\sqrt{x+1}=20
    ⇔3\sqrt{x+1}+\sqrt{x+1}=20
    ⇔4\sqrt{x+1}=20
    ⇔\sqrt{x+1}=5
    ⇔x+1=25
    ⇔x=24 ™
    Vậy S={24}
    b) \sqrt{x-8}=\sqrt{2x-3} (x>=8)
    ⇔x-8=2x-3
    ⇔x-2x=-3+8
    ⇔-x=5
    ⇔x=-5 (loại)
    Vậy S=∅
     

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222-9+11+12:2*14+14 = ? ( )

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