[tex]\large\bf{\underline{Solutions:}}[/tex]
[tex]\large\bf{⟹8 , -7}[/tex]
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[tex]\large\bf{\underline{Given\: equation :}}[/tex]
[tex]\large\bf{⟹ x^2 -8x-56 }[/tex]
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[tex]\large\bf{\underline{Using\: middle\:term\: splitting}}[/tex]
[tex]\large\bf{Here, a = 1 , b = 1 \:and \:c= 56 }[/tex]
[tex]\large\bf{ ⟹ a\times c = 1\times56 =56}[/tex]
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[tex]\large\bf{\underline{By\: splitting \:the\:middle\:term:}}[/tex]
[tex]\large\bf{⟹x^2-8x+7x-56}[/tex]
[tex]\large\bf{⟹x(x-8)+7(x-8}[/tex]
[tex]\large\bf{⟹(x-8)(x+7)}[/tex]
[tex]\large\bf{\underline{Hence}}[/tex]
[tex]\large\bf{⟹x-8=0}[/tex]
[tex]\large\bf{⟹x=0+8}[/tex]
[tex]\large\bf{⟹x=8}[/tex]
and
[tex]\large\bf{⟹x+7=0}[/tex]
[tex]\large\bf{⟹x=0-7}[/tex]
[tex]\large\bf{⟹x=-7}[/tex]
