Question

If using the method of completing the square to solve the quadratic equation x^2+9x+7=0x 2 +9x+7=0, which number would have to be added to "complete the square"?

Answer 1

Answer:

$81/4$

Step-by-step explanation:

From the question we are told that

The equation is given by

$x^2+9x+7=0$

Generally completing the square method is mathematically solved

$x^2+9x+7=0$

$x^2+9x=-7$

$x^2+2(\frac{9}{2})x =-7$

$x^2+2(\frac{9}{2})x+(\frac{9}{2})^2 =-72+(\frac{9}{2})^2$

$x^2+2(\frac{9}{2})x+(\frac{81}{4}) =-7+(\frac{81}{4})$

$(x^2+(\frac{9}{2}))^2 =-7+\frac{81}{4}$

Therefore with the use of completing the square method $81/4$  should be added to solve the equation