Question

100x2_20x+1 =0 by spliitting th3 middle term​

Answer 1

Step-by-step explanation:

100x²-10x-10x+1

10x(10x-1)+1(10x-1)

(10x-1)(10x+1)

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Answer 2

AnsWer :

x = 1 / 2.

SolutioN :

Let splitting the middle term.

→ 100x² - 20x + 1 = 0.

→ 100x² - 10x - 10x + 1 = 0.

→ 10x( 10x - 1 ) - 1( 10x - 1 ) = 0.

→ ( 10x - 1 )( 10x - 1 ) = 0.

Either,

→ 10x - 1 = 0.

→ 10x = 1.

→ x = 1 / 10.

Or,

→ 10x - 1 = 0.

→ 10x = 1.

→ x = 1 / 10.

Therefore, the value of x is 1 / 10 and 1 / 10.

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Other Method :

By Quadratic Formula.

Compare With General Equation.

ax² + bx + c = 0.

where as,

• a = 100.
• b = - 20.
• c = 1.

$\tt \bullet \: \: \: \: \: \boxed{ \tt x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }$

$\tt \mapsto x = \dfrac{ 20\pm \sqrt{ {\Big( - 20\Big)}^{2} - 4(100)( 1)} }{2 \times 100}$

$\tt \mapsto x = \dfrac{ 20\pm \sqrt{ 400- 400} }{2 \times 100}$

$\tt \mapsto x = \dfrac{ 20\pm \sqrt{0} }{2 \times 100}$

$\tt \mapsto x = \dfrac{ 2 \cancel0}{20 \cancel{0}}$

$\tt \mapsto x = \dfrac{ \cancel2}{ \cancel{2}0}$

$\tt \mapsto x = \dfrac{1}{10}$