If x ^ 2 + 6x + K ^ 2 is exactly the square of an integer, then the value of the constant k is A 9 B 3 C -3 D + 3 or - 3 Why?

If x ^ 2 + 6x + K ^ 2 is exactly the square of an integer, then the value of the constant k is A 9 B 3 C -3 D + 3 or - 3 Why?

When a quadratic trinomial is a complete square, B & # 178; - 4ac = 0
∴ b²－4ac＝6²－4×1×k²＝0
k²＝9
k＝±3
The answer is: D

If x2 + 6x + K2 is exactly the square of an integer, then the value of constant k is ()
A. 3B. -3C. ±3D. 9

∵ x2 + 6x + K2 is the complete square form, ∵ 6x = 2 ×| K | x, the solution is k = ± 3

If x2 + 6x + K2 is exactly the square of an integer, then the value of constant k is ()
A. 3B. -3C. ±3D. 9

∵ x2 + 6x + K2 is the complete square form, ∵ 6x = 2 ×| K | x, the solution is k = ± 3

If x2 + 6x + K2 is exactly the square of an integer, then the value of constant k is ()
A. 3B. -3C. ±3D. 9

∵ x2 + 6x + K2 is the complete square form, ∵ 6x = 2 ×| K | x, the solution is k = ± 3

If x ^ 2 + 6x-2k-3 is the square of an integer, then the constant K=

x^2+6x-2k-3=x^2+6x+9-2k-12
=(x+3)^2-2k-12
Because x ^ 2 + 6x-2k-3 is the square of an integer,
So the constant - 2K - 12 = 0
So k = - 6

Observe a set of data in the following table: X: 1 2 3 4 5.. Y: 1 4 7 10 13 use the algebraic expression of X to express y

y=3x-2

Express y with an algebraic expression containing X and express x with an algebraic expression containing y!
Given the equation 3x-y = 8, use the algebraic formula containing x to express y, and use the algebraic formula containing y to express X

Express y with algebraic expression containing x
3X-Y=8
Y=3X-8
Express x with algebraic expression containing y
3X-Y=8
3X=Y+8
X=(Y+8)/3

We know that x + 4Y = 10, expressed as 10-4y by the algebraic formula containing y, and 10-x by the algebraic formula containing X. why is its positive integer solution x

The result of substitution is two constants 10 = 10
The value of X is arbitrary

In rational numbers, the smallest positive integer is______ The largest negative integer is______ The largest non positive number is______ The smallest nonnegative number is______ ．

In rational numbers, the smallest positive integer is 1, the largest negative integer is - 1, the largest non positive number is 0, and the smallest non negative number is 0

In rational numbers, the smallest positive integer is______ The largest negative integer is______ The largest non positive number is______ The smallest nonnegative number is______ ．

In rational numbers, the smallest positive integer is 1, the largest negative integer is - 1, the largest non positive number is 0, and the smallest non negative number is 0