Question

Розв'язати рівняння:x²-6+8=0

Answer 1

X^2-6X+8=0

a = 1, b= -6, c=8

D=b^2 - 4ac

D= (-6)^2 - 4*1*8 = 36 - 32 = 4

x1 = -b + корень из D/ 2a = 6 + 2/2 = 8/2 = 4

x2 = -b -  корень из D/ 2a =6 - 2/2 = 4/2 = 2

Ответ: 4 и 2.

Answer 2

To solve the equation x² - 6x + 8 = 0, you can use the quadratic formula. The quadratic formula is given by:

x = (-b ± √(b² - 4ac)) / 2a

Where the equation is in the form ax² + bx + c = 0.

For the given equation x² - 6x + 8 = 0, a = 1, b = -6, and c = 8.

Now, plug these values into the quadratic formula:

x = (6 ± √((-6)² - 4 * 1 * 8)) / 2 * 1

x = (6 ± √(36 - 32)) / 2

x = (6 ± √4) / 2

Now, calculate the two possible values of x:

1. When using the plus sign:

x = (6 + √4) / 2

x = (6 + 2) / 2

x = 8 / 2

x = 4

2. When using the minus sign:

x = (6 - √4) / 2

x = (6 - 2) / 2

x = 4 / 2

x = 2

So, the solutions to the equation x² - 6x + 8 = 0 are x = 4 and x = 2.