Ответ:
1)(x + 6)2-10x = x(x+3)
x2 + 2×x×6 + 36 = x2 + 3x
x2 + 12x - x2-3x =-36
9x=-36
x=-36÷9
x=-4
2)(x-4)2 =(x+5)2
x2-2×x×4+16=x2+2×x×5+25
x2-8x+16=x2+10x+25
x2-8x-x2+10x=25-16
2x=9
x=9÷2
x=4.5
3)(4x+2)2=4x(4x+8)
4x2+2×4x×2+4=16x2+32x
16x2+16x-16x2-32x=-4
-16x=-4
x=0.25
4)(x+8)2=x2+96
x2+2×x×8=x2+96
x2+16x-x2=96
16x=96
x=96÷16
x=6
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Answers & Comments
Ответ:
1)(x + 6)2-10x = x(x+3)
x2 + 2×x×6 + 36 = x2 + 3x
x2 + 12x - x2-3x =-36
9x=-36
x=-36÷9
x=-4
2)(x-4)2 =(x+5)2
x2-2×x×4+16=x2+2×x×5+25
x2-8x+16=x2+10x+25
x2-8x-x2+10x=25-16
2x=9
x=9÷2
x=4.5
3)(4x+2)2=4x(4x+8)
4x2+2×4x×2+4=16x2+32x
16x2+16x-16x2-32x=-4
-16x=-4
x=0.25
4)(x+8)2=x2+96
x2+2×x×8=x2+96
x2+16x-x2=96
16x=96
x=96÷16
x=6