Question

Solve the equation by completing the square. Round to the nearest hundredth if necessary. ​x2 – 5x = 12

Answer 1

X^2 - 5x = 12
x^2 - 5x + 6.25 = 12 + 6.25
(x - 2.5)^2 = 18.25
x - 2.5 = (+-) sqrt 18.25
x = 2.5 (+ - ) 4.27

x = 2.5 + 4.27 = 6.77 <==
x = 2.5 - 4.27 = -1.77 <==

Answer 2

Answer:

$x=6.77$ and $x=-1.77$

Step-by-step explanation:

The given equation is:

$x^2-5x=12$

Adding $6.25$ on both sides of the above equation, we get

⇒$x^2-5x+6.25=12+6.25$

⇒$(x-2.5)^2=18.25$

⇒$(x-2.5)={\pm}{\sqrt{18.25}$

⇒$(x-2.5)={\pm}4.27$

⇒$(x-2.5)=4.27$ and $(x-2.5)=-4.27$

⇒$x=4.27+2.5$ and $x=-4.27+2.5$

⇒$x=6.77$ and $x=-1.77$

which is the required values of x.