Question

${x }^{2} + x - 528 = 0$
solve this problem using factories ​

Answer 1

AnsweR :-

• $\sf \: x = \frac{ - 1 + \sqrt{2113} }{2} \: and \: \frac{ - 1 - \sqrt{2113} }{2}$

SolutioN :-

$\sf \: {x}^{2} + x - 528$

we can not factories this equation so we will use Quadratic formula to solve it.

$\sf \: quadratic \: formula \longrightarrow \\ \\ \sf \: x = \frac{ - b </strong><strong>±</strong><strong> \sqrt{ {b}^{2} - 4ac } }{2a}$

Comparing the given equation with ax² + bx + c →

• $\sf \: a = 1 \\ \\ \sf \: b = 1 \\ \\ \sf \: c = - 528$

$\sf \: x = \frac{ - 1 </strong><strong>±</strong><strong> \sqrt{( {1)}^{2} - 4 \times 1 \times ( - 528)} }{2 \times 1} \\ \\ \sf \: x = \frac{ - 1 </strong><strong>±</strong><strong> \sqrt{1 + 2112} }{2} \\ \\ \sf \: x = \frac{ - 1 </strong><strong>±</strong><strong> \sqrt{2113} }{2}$

So , the values of x are -

$\sf \: x = \boxed{ \red{\frac{ - 1 + \sqrt{2113} }{2}} } \\ \\ \sf \: and \\ \\ \sf \: x = \boxed{ \blue{ \frac{ - 1 - \sqrt{2113} }{2} }}$