Question

Solve this by Quadratic formula
$\rm{\ 8x^{2}-38x+35}$​

Answer 1

Step-by-step explanation:

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Answer 2

$\bf\purple{\underline{\boxed{Question}}}$

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Solve this by Quadratic formula

$\rm{\ 8x^{2}-38x+35}$

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$\bf\purple{\underline{\boxed{Solution}}}$

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$\tt{8x^{2}-38x+35}$

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$\small\tt{where\:\:,}$

$\small\tt{a\:=\:8}$

$\small\tt{b\:=\:38}$

$\small\tt{c\:=\:35}$

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$\small\tt{using\: formula}\\{\small\tt{D\:=\:b^{2}-4ac}}$

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$\small\tt{\:=\:38^{2}-4\times8\times35}$

$\small\tt{\:=\:1444\:-\:1120}$

$\small\tt{D\:=\: 324}$

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✒$\rm{\ 8x^{2}-38x+35}$

$\rm{x\:=\:\frac{-b±\sqrt{ \ b^{2}-4ac}}{2a}}$

$\rm{x\:=\:\frac{-(-38)±\sqrt{ \ (-38)^{2}-4(8)(35)}}{2\times 8}}$

$\rm{x\:=\:\frac{+38±\sqrt{ 1444-1120}}{16}}$

$\rm{x\:=\:\frac{38±\sqrt{324}}{16}}$

$\rm{x\:=\:\frac{38± 18}{16}}$

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$\small\tt{There\:are\:2\:possible\:values}$

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$\small\tt{1)\:\:Postive\:}$

$\tt{x\:=\:\frac{38+18}{16}}$

$\tt{x\:=\:\frac{56}{16}}$

$\tt{x\:=\:{\cancel\frac{56}{16}}}$

$\tt{x\:=\:4}$

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$\small\tt{2)\:\:Negetive\:}$

$\tt{x\:=\:\frac{20}{16}}$

$\tt{x\:=\:{\cancel\frac{20}{16}}}$

$\tt{x\:=\:\frac{5}{4}}$

$\:$

$\bf\purple{\underline{\boxed{Thanks}}}$