What is Brahmagupta quadratic formula?

What is Brahmagupta quadratic formula?

In 628 AD, Brahmagupta, an Indian mathematician, gave the first explicit (although still not completely general) solution of the quadratic equation as follows: “To the absolute number multiplied by four times the [coefficient of the] square, add the square of the [coefficient of the] middle term; the square root of the …

What did Brahmagupta discover?

Introduction. Brahmagupta (ad 628) was the first mathematician to provide the formula for the area of a cyclic quadrilateral. His contributions to geometry are significant. He is the first person to discuss the method of finding a cyclic quadrilateral with rational sides.

What is the other name of Brahmagupta?

Brahmagupta was the first to give rules to compute with zero. The texts composed by Brahmagupta were in elliptic verse in Sanskrit, as was common practice in Indian mathematics….

Died c. 668 CE (aged c. 69–70)

How did Brahmagupta discover gravity?

Enter stage left, Brahmagupta who saw the apple fall from a tree in his garden over 1,000 years prior to Newton’s rip-off discovery and went, ‘Eureka, the apple fell from the tree in a straight, perpendicular line, drawn by the earth’s core. I have discovered Gravity’.

Did aryabhatta invented zero or Brahmagupta?

“Zero and its operation are first defined by [Hindu astronomer and mathematician] Brahmagupta in 628,” said Gobets. He developed a symbol for zero: a dot underneath numbers.

What is Brahmagupta’s formula and theorem?

Brahmagupta’s Formula and Theorem Brahmagupta – an Indian mathematician who worked in the 7th century – left (among many other discoveries) a generalization of Heron’s formula: The area $S$ of a cyclic quadrilateralwith sides $a, b, c, d$ is given by $S = \\sqrt{(s – a)(s – b)(s – c)(s – d)}$,

Who is the father of Brahmagupta?

Brahmagupta (Sanskrit: ब्रह्मगुप्त), the son of Jisnugupta, was an Indian mathematician and astronomer who lived between 597–668 AD and wrote two important works on mathematics and astronomy:

What is the difference between Brahmagupta’s and Heron’s formula?

It is interesting to note that Heron’s formula is an easy consequence of Brahmagupta’s. To see that suffice it to let one of the sides of the quadrilateral vanish. On the other hand, Heron’s formula serves an essential ingredient of the proof of Brahmagupta’s formula found in the classic textby Roger Johnson.

What did Brahmagupta say about negative and positive numbers?

Brahmagupta stated that ‘When ZERO is added to a number or subtracted from a number, the number remains unchanged. A number multiplied by ZERO becomes ZERO. Positive and Negative numbers usage : His statements about debt (negative numbers) and fortune (positive numbers) are: