Respuesta :
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