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

Toán Lớp 9: Tìm x biết: a) căn16X+16 – căn9x+9 + căn4X+4 + cănX+1 = 16( X -1) b) căn(2x-1)^2 – 1=2

Tháng Năm 29, 2022 Toán học 1 Comment 0 views

Toán Lớp 9: Tìm x biết:
a) căn16X+16 – căn9x+9 + căn4X+4 + cănX+1 = 16( X -1)
b) căn(2x-1)^2 – 1=2

Comments ( 1 )

  1. thanhthuythu
    thanhthuythu
    29 Tháng Năm, 2022 at 11:40 chiều
    Reply
    $\text{$\sqrt{16x+16}$-$\sqrt{9x+9}$+$\sqrt{4x+4}$+$\sqrt{x+1}$=16.(x-1)}$
    $\text{⇒4$\sqrt{x+1}$-3$\sqrt{x+1}$+2$\sqrt{x+1}$+$\sqrt{x+1}$=16(x-1)}$
    $\text{⇒4$\sqrt{x-1}$=16(x-1)}$
    $\text{⇒$\sqrt{x-1}$=4(x-1)}$
    $\text{⇒$\sqrt{x-1}$=4x-4}$
    $\text{⇒($\sqrt{x-1}$)²=(4x-4)²}$
    $\text{⇒x-1=16x²-32x+16}$
    $\text{⇒x+32x-16x²=16+1}$
    $\text{⇒33x-16x²=17}$
    $\text{⇒33x-16x²-17=0}$
    $\text{⇒\(\left[ \begin{array}{l}x=\frac{17}{16} \\x=1\end{array} \right.\)}$
    _________________________________________________________________________
    $\text{($\sqrt{2x-1}$)²-1=2}$
    $\text{⇒($\sqrt{2x-1}$)²=3²}$
    $\text{⇒2x-1=9}$
    $\text{⇒2x=10}$
    $\text{⇒x=5}$

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

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