Question

The first three steps for solving the quadratic equation by completing the square are shown. Fill in the missing number in the last step. 9x2 +54x = 7 9(x2 + 6x) = 7 9(x2 + 6x + 9) = 7 + 88

Answer 1

99 i think i hope it hope

Answer 2

Answer:$x= \sqrt{88}/3-3$ will be the last step.

Explanation :

Given quadratic equation 9x^2+54x=7

⇒ $9(x^2+6x)=7$( By the associative property)

⇒$9(x^2+6x)+81=7+81$ ( by adding 81 on both sides)

⇒$9(x^2+6x+9) = 88$ (taking 9 as common in left side of equation.)

⇒$9(x+3)^2=88$

⇒$(x+3)^2=88/9⇒ x+3=\sqrt{88/9}$ ⇒$x=\sqrt{88/9}-3\impliesx= \sqrt{88}/3-3$