Respuesta :

x^2+10x + 25 = (x + 5)^2

missing = 25

hope it helps

The missing constant in the perfect square is 25

Perfect squares of a quadratic equation

A quadratic equation is of the form:

[tex]ax^2+bx+c[/tex]

The giving perfect square is:

[tex]x^2+10x[/tex]

Comparing the two equations above:

a = 1, b = 10

The coefficients a, b, and c are related by the equation:

[tex]b^2=4ac[/tex]

Substitute a = 1, b = 10, and solve for c

[tex]10^2=4(1)c\\\\4c=100\\\\c=\frac{100}{4} \\\\c = 25[/tex]

Therefore, the missing constant in the perfect square is 25

Learn more on perfect squares here: https://brainly.com/question/1538726

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