Question

1) x^4=625 2) 2x^3+14=0

Answer 1

1) x^4=5^4
x=5
2) 2x^3=-14
x^3=-7
x=-корень третьей степени из 7

Answer 2

Sure! Let's solve the equations one by one:

1. x^4 = 625

To solve this equation, we need to find the values of x that satisfy the equation.

Taking the fourth root of both sides of the equation, we get:

√(x^4) = √625

Simplifying:

x^2 = ±√625

x^2 = ±25

Taking the square root of both sides, we have:

x = ±5

So, the solutions to the equation x^4 = 625 are x = 5 and x = -5.

2. 2x^3 + 14 = 0

To solve this equation, we'll isolate the variable x.

Subtracting 14 from both sides of the equation:

2x^3 = -14

Dividing both sides by 2:

x^3 = -7

Now, to find the value of x, we'll take the cube root of both sides:

∛(x^3) = ∛(-7)

x = -∛7

Therefore, the solution to the equation 2x^3 + 14 = 0 is x = -∛7.