Question

5 x square - 2 x minus 9 is equal to zero use quadratic formula solve please​

Answer 1

Explanation:

$\sf Required\:Answer\begin{cases} 5x^2-2x-9=0 \\ Here \\ a=5 \\ b=-2 \\ c=9 \\\sf Let\:the\:zeros\:are \alpha \: ,\beta \\ \sf Use \:Quadratic\:Formula \\ \bf \alpha={\dfrac {-b+\sqrt {b^2-4ac}}{2a}} \\ \sf Substitute\:the\:values \\ \sf = {\dfrac {-(-2)+{\sqrt {(-2)^2-4\times5\times9}}}{2×5}} \\ \sf ={\dfrac {2+{\sqrt {4-180}}}{10}} \\ \sf ={\dfrac {2+{\sqrt {-176 }}}{10}} \\ \bf \beta ={\dfrac {-b-{\sqrt {b^2-4ac}}}{2a}}\\ \sf Substitute\:the\:values \\ \sf= {\dfrac {-(-2)-{\sqrt {(-2)^2-4\times5\times9}}}{2×5}} \\ \sf ={\dfrac {2-{\sqrt {4-180}}}{10}} \\ \sf={\dfrac {2-{\sqrt {4-176}}}{10}} \\ \therefore {\underline {\boxed{\bf {\alpha \:,\beta={\dfrac {2+{\sqrt {4-176}}}{10}} ,{\dfrac {2+{\sqrt{4-176}}}{10}}}}}}\end {cases}$