Question

X^2+2x+36=0 how it solve

Answer 1

$\huge{ \sf{ \underbrace{ \underline{Given}}}}$

$x {}^{2} + 2x + 36 = 0$

$\huge{ \sf{ \underbrace{ \underline{ \ to \: find}}}}$

To find the equation by following

quadratic formula

$\huge{ \sf{ \underbrace{ \underline{ Answer}}}}$

$x {}^{2} - 2x - 36 = 0 \\ \implies \: x = \frac{ - b \sqrt{b {}^{2} - 4ac } }{2a } \\ \: a = 1 \\ b = - 2 \\ c = - 36 \\ \: x = \frac{ - ( - 2) + \sqrt{( - 2) { - 4}^{2}(1)( - 36) } }{2(1)} \\ \\ \implies \: x = \frac{2 + 2 \sqrt{37} }{2} \\ \implies \: x = \frac{2 - 2 \sqrt{37} }{2 } \\ \implies \: x = 1 + \sqrt{37}$

$\huge{ \green{ \sf{ \underbrace{ \underline{Hence \: Verified}}}}}$

$x = 1 + \sqrt{37}$