14
(a + b)² = a² + 2ab + b²
x² + _x + 49
a = x
b = 7
2ab = 2×x×7 = 14x => 2b = 14
Answer:
[tex]\Huge \boxed{\mathrm{14}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
Square of a sum formula:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
x² + ___ x + 49
The value of a is x.
The value of b is 7, since 7² = 49.
[tex]x^2 +2(x)(7)+7^2[/tex]
[tex]x^2 +14x+49[/tex]
The missing coefficient is 14.
[tex]\rule[225]{225}{2}[/tex]
