Объяснение: sqrt() - Квадратный корень
1) (х-7)^2+3=(x-2) (x+2)
(x-7)^2 = x^2 - 4 - 3
(x-7)^2 = x^2 - 7
x^2 = (x-7)^2 + 7
x^2 = x^2 - 14x + 49 + 7
x^2 = x^2 - 14x + 56
x^2 - x^2 = -14x +56
-14x + 56 = 0
-14(x - 4) = 0
x - 4 = 0
x = 4
2) (2x+3)^2-(7-2x)^2=2
(2x+3-7+2x)(2x+3+7-2x) = 2
10(4x-4) = 2
4x - 4 =
4(x-1) =
x-1 =
x =
3) (2-x)^2-x(x+1.5)=4
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Answers & Comments
Verified answer
РЕШЕНИЕ:1) (x-7)²+3=(x-2)(x+2)
x²-14x+49+3=x²+2x-2x-4
x²-14x-x²=-4-52
-14x=-56
x=-56/-14
x=4
ОТВЕТ : 4
РЕШЕНИЕ :
2) (2x+3)²-(7-2x)²=2
4x²+12x+9-49+28x-4x²=2
40x=2+40
40x=42
x=42/40
x=21/20
ОТВЕТ : 21/20
РЕШЕНИЕ :
3) (2-x)²-x(x+1, 5)=4
4-4x+x²-x²-1,5x=4
-4x-1, 5x=4-4
-5, 5x=0
x=0/-5, 5
x=0
ОТВЕТ: 0
Verified answer
Объяснение: sqrt() - Квадратный корень
1) (х-7)^2+3=(x-2) (x+2)
(x-7)^2 = x^2 - 4 - 3
(x-7)^2 = x^2 - 7
x^2 = (x-7)^2 + 7
x^2 = x^2 - 14x + 49 + 7
x^2 = x^2 - 14x + 56
x^2 - x^2 = -14x +56
-14x + 56 = 0
-14(x - 4) = 0
x - 4 = 0
x = 4
2) (2x+3)^2-(7-2x)^2=2
(2x+3-7+2x)(2x+3+7-2x) = 2
10(4x-4) = 2
4x - 4 =
4(x-1) =
x-1 =
x =
x =
3) (2-x)^2-x(x+1.5)=4