Question

100x^2 -20x +1 = 0 find the given quadratic equation using formula method and please note that the formula is

-b + or - root of b^2 - 4ac
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2a
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Answer 1

Correct question :-

Find the roots of the given quadratic equation : 100x² - 20x + 1 = 0.

Solution :-

100x² - 20x + 1 = 0

Comparing the given equation with ax² + bx + c = 0 we get,

• a = 100
• b = - 20
• c = 1

Discriminant D = b² - 4ac

⇒ D = ( - 20 )² - 4( 100 )( 1 )

⇒ D = 400 - 400

⇒ D = 0

Since b² - 4ac i.e, discriminant is equal to 0 therefore the given equation has 2 equal real roots

Now, using quadratic formula to find the roots

⇒ x = ( - b ± √D) /2a

Substituting the values

⇒ x = [ - ( - 20 ) ± √0 ] / 2( 100 )

⇒ x = (20 ± 0)/200

⇒ x = 20/200

⇒ x = 1/10

Therefore the roots of the given equation are 1/10 and 1/10.