Question

5X^2-x-110=0 solve by Quadratic formula method​

Answer 1

$\Huge{\underline{\underline{\mathfrak{Answer \colon}}}}$

Given Equation,

$\large{ \sf{5x {}^{2} - x \: - 110 = 0}}$

On comparison with,

$\sf{ax {}^{2} \: + \: bx \: + \: c = 0}$

Here, a = 5,b = -1 and c = - 110

Discriminant,D:

$\sf{d = b {}^{2} - \: 4ac} \\ \\ \rightarrow \: \sf{d = ( - 1) {}^{2} - 4(5)( - 110) } \\ \\ \rightarrow \: \boxed{ \boxed{ \sf{d = 2201}}}$

Quadratic Formula

$\huge{\purple{\underline{\boxed{\sf{x = \frac{ - b \pm \sqrt{d} }{2a}}}}}}$

Putting the values,we get:

$\sf{x = \frac{ - ( - 1) \pm \: \sqrt{2201} }{2(5)} } \\ \\ \implies \: \sf{x = \frac{1 \pm \: \sqrt{2201} }{10} } \\ \\ \implies \: \huge{ \underline{ \boxed{\sf{x = \frac{1 + \sqrt{2201} }{10} \: \: or \: \: \frac{1 - \sqrt{2201} }{10} }}}}$