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

Toán Lớp 9: Giaỉ phương trình a,√x ²-16 – 3 √x + 4=0 b,√x + 3 + 4 √x-1 = 3

Toán Lớp 9: Giaỉ phương trình
a,√x ²-16 – 3 √x + 4=0
b,√x + 3 + 4 √x-1 = 3

Comments ( 1 )

  1. √x²-16-3√x+4=0
    ⇔x-16-3√x+4=0
    ⇔x-12-3√x=0
    ⇔-3√x=-x+12
    ⇔-3√x=12-x
    ⇔9x=144-24x+x²
    ⇔9x-144+24x+x²=0
    ⇔33x-144+x²=0
    ⇔x=$\frac{3(11-√57)}{2}$ 
    √x + 3 + 4 √x-1 = 3
    ⇔√x+4√x-1=0
    ⇔8$\sqrt[]{x(x-1)}$ =-x-16(x-1)
    ⇔64x²-64x=289x²-544x-256
    ⇔-225x²+480x-256=0
    ⇔(15x)²-2(15x)(16)+16²=0
    ⇔(15x-16)²=0
    ⇔15x-16=0
    ⇔15x=16
    ⇔x=$\frac{16}{15}$ 

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

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