Question

what is the nature of roots of x²-4x+5=0​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

$\huge\purple{\underline{\underline{\pink{Ans}\red{wer:-}}}}$

$\sf{Roots \ are \ not \ real.}$

$\sf\blue{Explanation:}$

$\sf{Discriminant=b^{2}-4ac}$

$\sf{If, \ \Delta>0 \ Roots \ are \ real \ and \ distinct.}$

$\sf{\Delta=0 \ Roots \ are \ real \ and \ equal.}$

$\sf{\Delta<0 \ Roots \ are \ not \ real.}$

$\sf\orange{Given:}$

$\sf{The \ given \ quadratic \ equation \ is}$

$\sf{\implies{x^{2}-4x+5=0}}$

$\sf\pink{To \ find:}$

$\sf{Nature \ of \ the \ roots.}$

$\sf\green{\underline{\underline{Solution:}}}$

$\sf{The \ given \ quadratic \ equation \ is}$

$\sf{\implies{x^{2}-4x+5=0}}$

$\sf{Here, \ a=1, \ b=-4 \ and \ c=5}$

$\sf{Discriminant (\Delta)=b^{2}-4ac}$

$\sf{\Delta=-4^{2}-4(1)(5)}$

$\sf{\Delta=16-20}$

$\sf{\Delta=-4}$

$\sf{\therefore{\Delta<0}}$

$\sf\purple{\tt{\therefore{Roots \ are \ not \ real.}}}$