Question

Solve the following quadratic equations by factorisation.
m2 - 14 m + 13 = 0 ​

Answer 1

$\huge\underline\frak{\fbox{Correct \: Question :-}}$

Solve the following quadratic equations by factorisation.

m² - 14 m + 13 = 0

$\huge\underline\frak{\fbox{AnSwEr :-}}$

$\implies$ m² - 13 m - 1m + 13 = 0

$\implies$ m (m - 13) -1 (m - 13) = 0

$\implies$ (m - 13) (m - 1) = 0

$\implies$ m - 13 = 0 or m - 1 = 0

$\implies$ m = 13 or m = 1

$\implies$ 13 and 1 are the roots of the given quadratic equation.

Answer 2

$\bold\red{\underline{\underline{Answer:}}}$

$\bold\orange{\underline{\underline{To \ solve \ m^2-14m+13 \ using \ factorisation }}}$

$\bold{\underline{\underline{In \ m^2-14m+13 \ . \ -14m \ can \ be \ written \ as \ -13m-1 \ by \ splitting \ middle \ term }}}$

$\bold{\underline{\underline{m^2-13m-m+13}}}$

$\bold{\underline{\underline{m(m-13)-1(m-13)....by \ taking \ common}}}$

$\bold{\underline{\underline{(m-1)(m-13) \ are \ the \ factors}}}$

$\bold\red{\underline{\underline{To \ find \ zeros \ of \ the \ polynomial \ equate \ expression \ to \ 0}}}$

$\bold\red{\underline{\underline{m-1=0 \ or \ m-13=0}}}$

$\therefore\bold\red{\underline{\underline{Answer:m=1 \ or \ m=13}}}$

$<marquee>hope it helps</marquee>$

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