Question

Y2-9y+14 знайти пiдбором коренi рiвняння​

Answer 1

Ответ:

у^2-9y+14 = 0

у1 + у2 = 9

у1 × у2 = 14

у1 = 7

у2 = 2

Объяснение:

Answer 2

X1=7 ;x2=-2(за обер т .виєта)

Answer 3

To find the roots of the equation $Y = 2Y - 9Y + 14$, we need to solve for $Y$ when the equation equals zero.

The equation is: $Y^2 - 9Y + 14 = 0$.

Since this is a quadratic equation, we can factor it to find its roots. To factor the equation, we look for two numbers whose product is equal to the product of the coefficient of $Y^2$ (which is 1 in this case) and the constant term (which is 14 in this case), and whose sum is equal to the coefficient of the linear term (which is -9 in this case).

The two numbers are -2 and -7, because:

-2 * -7 = 14 (product of the constant term) -2 + (-7) = -9 (sum of the linear term)

Now, rewrite the equation with the factored form:

$Y^2 - 9Y + 14 = (Y - 2)(Y - 7) = 0$.

To find the roots, we set each factor equal to zero and solve for $Y$:

1. $Y - 2 = 0$
   $Y = 2$

2. $Y - 7 = 0$
   $Y = 7$

So, the roots of the equation are $Y = 2$ and $Y = 7$.