Chapter: 10th Mathematics : UNIT 3 : Algebra
Algebra
ALGEBRA
“A person who can,
within a year, solve x2 – 92y2
= 1 is amathematician”
Niccolo Fontana
Tartaglia was
an Italian mathematician, engineer, surveyor and
bookkeeper from then Republic of Venice (now Italy). He published many books,
including the first Italian translations of Archimedes and Euclid, and an
acclaimed compilation of mathematics. Tartaglia was the first to apply mathematics
to the investigation of the paths of cannonballs; his work was later validated
by Galileo’s studies on falling bodies.
Tartaglia along with
Cardano were credited for finding methods to solve any third degree
polynomials
called cubic equations. He also provided a
nice formula for calculating volume of any tetrahedron using distance between
pairs of its four vertices.
Learning Outcomes
·
To
solve system of linear equations in three variables by the method of
elimination
·
To
find GCD and LCM of polynomials
·
To
simplify algebraic rational expressions
·
To
understand and compute the square root of polynomials
·
To
learn about quadratic equations
·
To
draw quadratic graphs
·
To
learn about matrix, its types and operations on matrices
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