5x^2=4x+7 quadratic equations by square

1.	5x^2=4x+7 quadratic equations by square
Answer» $\huge\underline{ \underline{ \bf{ \blue{ \: solution \: : = }}}}$ by USING QUADRATIC formula, $\bf {\boxed{\frac{ -b + - \sqrt{ {b }^{2} - 4ac} }{2a}}}$ ⠀⠀⠀⟹⠀ $x = \frac{ - ( - 4) + - \sqrt{ - 4 {}^{2} - 4 \times 5 \times ( - 7)} }{2 \times 5}$ ⠀⠀⟹⠀⠀ $x = \frac{ - 4 + - \sqrt{16 - 4 \times 5( - 7)} }{10}$ ⠀⠀⠀⠀⟹⠀⠀ $x = \frac{4 + - \sqrt{16 - 140} }{10}$ ⠀⠀⠀⟹⠀⠀ $x = \frac{4 + - \sqrt{156} }{10}$ ⠀⠀⠀⠀⟹⠀⠀ $x = \frac{4 + \times 2 \sqrt{39} }{10}$ ⠀⠀⠀⠀⟹⠀⠀ $x = \frac{2 \sqrt{39} + 4 }{10}$ ⠀⠀⠀⟹⠀⠀ ${\bf{\boxed{\pink{x = \frac{ \sqrt{39} + 2}{ 5}}}}}$ ⠀⠀⠀⠀⟹⠀ $x = \frac{ - 4 - 2 \sqrt{39} }{10}$ ⠀⠀⠀⠀⟹ ${\boxed{\pink{x = \frac{2 - \sqrt{39} }{5}}}}$

Answer»

$\huge\underline{ \underline{ \bf{ \blue{ \: solution \: : = }}}}$