Question

find the solutions to the equation by completing the square. x^2-6x=7. what is the largest value of x. what is the smallest?

Answer 1

x^2 - 6x = 7


How to work out the equation:


Subtract 7 from both sides

x^2 - 6x - 7 = 7 - 7

Simplify

x^2 - 6x - 7 = 0


Answer :

The final solutions to the quadratic equation are:

x = 7
x = -1



Hope that helped !! :))

Answer 2

Answer:

The largest value of x is 1 and the smallest is the -7.

Step-by-step explanation:

The given equation is:

$x^2-6x=7$

Solving the above equation by adding 9 on both the sides, we get

$x^2-6x+9=7+9$

⇒$x^2-(2)(3)x+3^2=16$

Using the identity, $(a+b)=a^2+b^2+2ab$, we have

⇒$(x+3)^2=16$

Taking square root on both the sides, we get

⇒$(x+3)=\sqrt{16}$

⇒$(x+3)=\pm{4}$

⇒$x+3=4$ and $x+3=-4$

⇒$x=1$ and $x=-7$

Thus, the largest value of x is 1 and the smallest is the -7.