Question

Completing square method - Explain- class-X​

Answer 1

In elementary algebra, completing the squareis a technique for converting a quadratic polynomial of the form

{\displaystyle ax^{2}+bx+c}

to the form

{\displaystyle a(x-h)^{2}+k}

for some values of h and k.

Completing the square is used in

solving quadratic equations,

graphing quadratic functions,

evaluating integrals in calculus, such as Gaussian integrals with a linear term in the exponent,

finding Laplace transforms.

In mathematics, completing the square is often applied in any computation involving quadratic polynomials. Completing the square is also used to derive the quadratic formula