Question

Solve by the Quadratic formula method: 5d^2-6x-2=0​

Answer 1

${\bold{\red{\sf{★}}}}$$\large{\bold{\sf{5x²-6x-2=0}}}$

$\large{\bold{\sf{Let \:the\:roots\:are\:‘a’\:and\:‘b’}}}$

$\large{\boxed{\red{\sf{x=\frac{-b±\sqrt{b²-4ac}}{2a}}}}}$

${\bold{\sf{⟹ }}}$${\boxed{\sf{a=\frac{-(-6)+\sqrt{(-6)²-4(5)(-2)}}{2(5)}}}}$

${\bold{\sf{⟹ }}}$${\boxed{\sf{a=\frac{6+\sqrt{76}}{10}}}}$${\bold{\sf{⟹ }}}$${\boxed{\green{\sf{a=\frac{3+\sqrt{19}}{5}}}}}$

${\bold{\sf{⟹ }}}$${\boxed{\sf{b=\frac{-(-6)-\sqrt{(-6)²-4(5)(-2)}}{2(5)}}}}$

${\bold{\sf{⟹ }}}$${\boxed{\sf{b=\frac{6-\sqrt{76}}{10}}}}$${\bold{\sf{⟹ }}}$${\boxed{\green{\sf{b=\frac{3-\sqrt{19}}{5}}}}}$