Let α,β be the roots of the equation, ax2+bx+c=0.a,b,c are real and sn=αn+βn and \(\begin{vmatrix}3 &1+s_1 &1+s_2\\1+s_1&1+s_2 &1+s_3\\1+s_2&1+s_3 &1+s_4\end{vmatrix}=\frac{k(a+b+c)^2}{a^4}\) then k=
Biotechnology is the technology that utilizes biological systems, living organisms, or parts of this to develop or create different products.
For example, brewing and baking bread fall within the concept of biotechnology (use of yeast (= living organism) to produce the desired product).
Alternative to conventional farming: A possible solution is the use of genetically modified crops which is an alternative path to conventional farming.
In the area of healthcare, recombinant DNA technological processes have made an immense impact which enables the mass production of safe and more effective therapeutic drugs.
A collection of methods that allows the correction of a gene defect that has been diagnosed in a child/embryo is called Gene Therapy.
For editing genomes, CRISPR is a simple yet powerful tool which allows researchers to easily alter DNA sequences and modify gene function.