Question

Complete the following activity to solve the equation x - 10x - 2 = 0

using formula.

Here, a = 1, b= - 10, c = - 2

b2 4ac = -4 x 1 x (-2) = 8 =

b2tVb2 - 4acc -10)+VOX

2a 2X 1

10 3 = 5 2 t

X= or x =L​

Answer 1

Answer:

The answers in blanks

   $(-10)^{2}$ ,  100,  108

                   36, 3

                    6, 3$\sqrt{3}$  

x = 5 + 3$\sqrt{3}$ ,  x = 5 - $3\sqrt{3}$  

Step-by-step explanation:

Given equation  $x-10x-2 =0$  

compare the given equation with  $ax^{2} +bx+c=0$

⇒ $a = 1$   $b = -10$  and $c = -2$  

using formula $x =$  -$b$ ± $\sqrt{b^{2}- 4ac}$ / $2a$  

⇒ $b^{2} -4ac$ =  $(-10)^{2} - 4(1)(-2)$   =  100+ 8  = 108

⇒ $x = -b$  ± $\sqrt{b^{2} -4ac}$  / 2a

⇒ $x =$ $[10$ ± $\sqrt{108}]$  / 2(1) =   [10 ± $\sqrt{36 (3)}$ ] / 2

⇒  x =[10± 6$\sqrt{3}$ ]/ 2  

⇒  $x =5$ ± 3$\sqrt{3}$   ⇒  x= 5 + $3\sqrt{3}$ or x= 5 -$\sqrt{3}$        

Answer 2

Step-by-step explanation:

x2 -10x - 2 = 0 to solve the equation with the help formula