Let ​ x² + 15x = 49 .​ What values make an equivalent number sentence after completing the square? Enter your answers in the boxes.x^2+15x+ ____=_____

[tex] x^{2} + 15x = 49 [/tex]for completing the squares , we have to add both sides the square of half of coefficient of xSo 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