Question

यदि वर्ग समीकरण मे मूल (6+√5) और (6-√5)है तो वर्ग समीकरण बनाइए
​

Answer 1

$\huge\underline{\overline{\mid\star{\sf{\pink{SoLuTiOñ}}\star\mid}}}$

Given roots are : (6+✓5) and (6-✓5)

To find the equation formed by the roots:

${x}^{2} -(6 + \sqrt{5} + 6 - \sqrt{5} )x + (6 + \sqrt{5} )(6 - \sqrt{5} ) = 0 \\ = > {x}^{2} - 12x + {6}^{2} - { \sqrt{5} }^{2} = 0 \\ = > {x}^{2} - 12x + 36 - 5 = 0 \\ = > {x}^{2} - 12x + 31 = 0$