Question

Using Newton's formula, find a root of the following equation
Solution of Algebraic an
(1) X^2-5x + 3 = 0​

Answer 1

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Answer:

No , it is not Newton's formula .

It is Shridharacharya's formula who is an Indian mathematics .

Shridharacharya's formula aslo called quadratic formula

Step-by-step explanation:

check the discriminant and see the nature of roots .

That is D ( Discriminant ) = b² - 4ac

If D > 0 , then the roots are real but roots are distinct .

If D= O , then roots are real and equal .

If D < 0 then there is no real roots exists .

Here , b² - 4ac

(-5)² - 4×1×3

25 - 12

13

So, D>0 , so the roots are real and distinct .

x = -b +_ √b²-4ac/2a

= 5 +_√13/2

so roots are -

1. 5+√13/2
2. 5-√13/2