Math, asked by bakeomemejemaimah, 8 months ago

please solve the equation x²–7x–78=0

Answers

Answered by Mihir1001

$\huge{\underline{\mathfrak{\textcolor{blue}{Answer :}}}}$

$\huge\boxed{\fcolorbox{red}{pink}{ (x = 13) or (x = -6) }}$

$\huge{\underline{\mathrm{\textcolor{red}{Step-by-step \: \: explanation :}}}}$

$\LARGE{\underline{\mathtt{\textcolor{violet}{Given :-}}}}$

${x}^{2} - 7x - 78 = 0$

$\LARGE{\underline{\mathtt{\textcolor{green}{To \: \: find :-}}}}$

Factors of the given equation.
Roots of the given equation.

$\LARGE{\underline{\mathtt{\textcolor{teal}{Concept \: \: used :-}}}}$

Factorisation

$\LARGE{\underline{\mathtt{\textcolor{blue}{Solution :-}}}}$

We have,

$\longmapsto {x}^{2} - 7x - 78 = 0$

$\implies {x}^{2} - ( 13 - 6 )x - 78 = 0$

$\implies {x}^{2} - 13x + 6x - 78 = 0$

$\implies x(x - 13)x + 6(x - 13) = 0$

$\implies (x - 13)(x + 6) = 0$

$\implies (x - 13) = 0$ | or, $(x + 6) = 0$

$\implies x = 13 \: \: \: \: \: \: \: \: \: \: \:$ | $\implies x = - 6$

$\LARGE{\underline{\mathtt{\textcolor{magenta}{Conclusion :-}}}}$

x = 13
OR
x = -6

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