Question

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

Answer 1

we get the equation

$x^{2} +15x+56.25 =105.25$

We have given that the function

$x^{2} +15x=49$

What is the condition for complete ting square method?

for completing the squares , we have to add both sides the square of half of coefficient of x

So we add both sides $(\frac{15}{2})^{2}$

Or,

$(7.5)^{2}$

add both side 7.5 square in given equation

$x^{2} +15x+7.5^{2} =49+7.5^{2}$

$x^{2} +15x+56.25 =105.25$

Therefore,we get the equation

$x^{2} +15x+56.25 =105.25$

To learn more about the quadratic equation visit:

brainly.com/question/1214333