Respuesta :
[tex] x^{2} + 15x = 49 [/tex]
for completing the squares , we have to add both sides the square of half of coefficient of x
So we add both sides [tex] (\frac{15}{2} )^{2} [/tex]
or
[tex] (7.5)^2 [/tex]
[tex] x^{2} + 15x + (7.5)^2 = 49 +(7.5)^2 [/tex]
[tex] x^{2} + 15x +56.25 = 105.25 [/tex]
So these values will make it equivalent for completing the squares
The complete square expression is [tex]x^{2} +15x+56.25=105.25[/tex]
Quadratic function :
Given function is,
[tex]x^{2} +15x=49[/tex]
We have to make an equivalent number sentence after completing the square.
We have to add both side [tex](\frac{15}{2} )^{2}[/tex]
[tex]x^{2} +15x+(7.5)^{2} =49+(7.5)^{2} \\\\x^{2} +15x+56.25=49+56.25\\\\x^{2} +15x+56.25=105.25[/tex]
The complete square expression is [tex]x^{2} +15x+56.25=105.25[/tex]
Learn more about the quadratic function here:
https://brainly.com/question/25841119
