Question

Solve this quadratic equation by splitting up middle term. please​

Answer 1

Question

11x^2 - 33x - 638 = 0

11 ( x^2 -3x - 58 ) = 0

x^2 - 3x - 58 = 0

we can calculate the value of D

$\large \implies{ \boxed{d \: = \: {b}^{2} - 4ac }} \\ \\ \large \implies{( - 3) {}^{2} - 4(1)( - 58) = 0 } \\ \\ \large \implies{9 + 232} \\ \\ \large \implies{d \: = \: 241} \\ \\ \large \implies{ \boxed{x = \frac{ - b \: \pm \: \sqrt{d} }{2a} }} \\ \\ \large \implies \orange{ \boxed{x = \frac{3 \: \pm \: \sqrt{241} }{2} = \: answer}}$