Question

Имеет ли нули функция у=4х(х-2) решение пожалуйста спасибо

Answer 1

У=4х²-2х
х=$\frac{-b}{2*a}$=$\frac{8}{2*4}$=1
y=4*1-8*1=-4
⇒ вершина в т.(1;-4), ветви параболы вверх
парабола проходит через точки:
(0,5;-3);(1.5;-3);(0;0);(2;0)

Answer 2

Solution for u=4x(x-2)

The given function is u=4x(x-2). To determine if the function has any zeros, we can solve for x when u=0.

Finding Zeros of the Function

To find the zeros of the function u=4x(x-2), we set u to 0 and solve for x: 0 = 4x(x-2)

Calculating the Zeros

To calculate the zeros, we can use the quadratic formula: x = (-b ± √(b²-4ac)) / (2a)

Applying the Quadratic Formula

For the equation 0 = 4x(x-2), the coefficients are: a = 4 b = 0 c = -8

Using the Quadratic Formula to Find Zeros

Using the quadratic formula, we can find the zeros of the function: x = (-0 ± √(0²-4*4*(-8))) / (2*4) x = (± √(0+128)) / 8 x = (± √128) / 8 x = (± 8√2) / 8 x = ± √2

Conclusion

The function u=4x(x-2) has zeros at x = ± √2.

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