Выполните действия 2,8×10^-7×4,6×10^-8 560×10^7: 752×10^6

Question

Алгебра: Выполните действия 2,8×10^-7×4,6×10^-8 560×10^7: 752×10^6

Digger2001 · Accepted Answer

1) =====================================
Нули функции
y=0; 2sin 3x = 0
3x = πk,k ∈ Z
x = πk/3, k ∈ Z
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2) **********************************************************
$x-4= \sqrt{x+8}$
ОДЗ: $\left \{ {{x-4 \geq 0} \atop {x-8 \geq 0}} \right. \Rightarrow \left \{ {{x \geq 4} \atop {x \geq 8}} \right. \Rightarrow \boxed{x \geq 8}$
Возведем обе части в квадрат
$x+8=(x-4)^2\\ x+8=x^2-8x+16\\ x^2-9x+8=0$
По т. Виета
x_1=1

- не удовлетворяет ОДЗ
x_2=8

ответ: 8.
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3) ========================================
sin(arcsin√2/2)=sin(π/4) = √2/2
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4)*******************************************************************
$\frac{ \sqrt[6]{256} }{ \sqrt[3]{-2} } =- \sqrt[3]{ \frac{16}{2} } =- \sqrt[3]{8} =-2$
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MOGZ ответил