Question

Сравнить с нулем значение выражения Х2-16х+64...0

Answer 1

A=1 b=-16 c=64
D=256-4*64*1=0
x16+0/2*1=16/2=8

Answer 2

Comparing the Expression with Zero

To compare the expression \(x^2 - 16x + 64\) with zero, we can factorize the expression and then solve for the value of \(x\) that makes the expression equal to zero.

The given expression is \(x^2 - 16x + 64\).

Factoring the Expression

To factorize the expression, we can use the quadratic formula or complete the square method. Let's use the complete the square method to factorize the expression.

Completing the square involves finding a constant term to add to the expression so that it becomes a perfect square trinomial.

The expression \(x^2 - 16x + 64\) can be factored as \((x - 8)^2\).

Solving for \(x\)

Now, to solve for \(x\), we set the factored expression equal to zero:

\((x - 8)^2 = 0\)

Taking the square root of both sides, we get:

\(x - 8 = 0\)

Adding 8 to both sides, we find:

\(x = 8\)

Conclusion

The value of the expression \(x^2 - 16x + 64\) when compared with zero is \(x = 8\). This means that when \(x = 8\), the expression is equal to zero.