Question

Решите уравнения:1)x²+8=7
2)2x²+3=-7
3)(x+2)²=-4
4)x-5=7
5)x²=144
6)3x+4=40
7)0,5x+5=11?
8)x²=16
9)x³=8
10)x²=0,01
11)2x²=18

Answer 1

$1) x^{2} +8=7\\ x^{2} =-1\\ x^{2} \neq -1\\\\2)2 x^{2} +3=-7\\2 x^{2} =-10\\2 x^{2} \neq -10 \\ \\ 3)(x+2) ^{2} =4\\(x+2) ^{2} \neq 4 \\ \\ 4)x-5=7\\x=12$

$5) x^{2} =144\\x=+-12 \\ \\ 6)3x+4=40\\3x=36\\x=12 \\ \\ 7)0.5x+5=11\\0.5x=6\\x=12 \\ \\ 8) x^{2} =16\\x=+-4$
$9) x^{3} =8\\x=2 \\ \\ 10) x^{2} =0.01\\x=+-0.1 \\ \\ 11)2 x^{2} =18\\ x^{2} =9\\x=+-3$