Question

The roots of 35x² + 13x – 12 = 0 are
11
a) I or 2
b)2or 3
c)1/2 or 1/3
d) 3/2 or -4/5

Answer 1

SOLUTION :

$\blue{ \underline{ \boxed{ \bf \green{ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a}} }}} \\ \\ \bf x = \frac{ - 13 + \sqrt{ {13 }^{2} - 4 \times 35 \times ( - 12) } }{2 \times 35} \\ \\ \bf x = \frac{ - 13 \sqrt{169 + 1680} }{70} \\ \\ \bf x = \frac {- 13 + \sqrt{1849}}{70} \\ \\ \bf x = \frac{ - 13 + 43}{70} \\ \\ \bf x = \frac{30}{70} \\ \\ \boxed{ \bf \orange{ x = \frac{3}{7}}} \\ \\ \bf taking \: - ve \\ \\ \bf x = \frac{ - 13 - 43}{70} \\ \\ \bf x = \frac{56}{70} \\ \\ \boxed{ \bf \orange{ x = \frac{4}{5}}}$