Question

5х^2+20х=0 и 5х^2+10х=0

Answer 1

5х²+20х=0
х(5х+20)=0
х=0; 5х+20=0
5х=-20
х=-4
Ответ:-4;0

5х²+10х=0
х(5х+10)=0
5х+10=0; х=0
5х=-10
х=-2
Ответ:-2;0

Answer 2

5х² + 20х = 0,
5х * (х + 4) = 0,
5х = 0,   х+4 = 0,
х1 = 0    х2 = -4,

5х² + 10х = 0,
5х * (х + 2) = 0,
5х = 0,   х + 2 = 0,
х1 = 0    х2 = -2

Answer 3

To solve the equations, we need to find the values of x that make the equations true. Let's solve each equation step-by-step:

1. 5x^2 + 20x = 0

Step 1: Factor out the common factor, which is 5x: 5x(x + 4) = 0

Step 2: Apply the zero-product property: Set each factor to zero and solve for x: 5x = 0 or x + 4 = 0

Step 3: Solve for x: For 5x = 0: x = 0

For x + 4 = 0: x = -4

So the solutions to the first equation are x = 0 and x = -4.

2. 5x^2 + 10x = 0

Step 1: Factor out the common factor, which is 5x: 5x(x + 2) = 0

Step 2: Apply the zero-product property: Set each factor to zero and solve for x: 5x = 0 or x + 2 = 0

Step 3: Solve for x: For 5x = 0: x = 0

For x + 2 = 0: x = -2

So the solutions to the second equation are x = 0 and x = -2.

To summarize:

1. The solutions to the equation 5x^2 + 20x = 0 are x = 0 and x = -4.
2. The solutions to the equation 5x^2 + 10x = 0 are x = 0 and x = -2.