Question

30
$3x ^{2} - 30x - 29 = 0$
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Answer 1

Answer:

$\huge{\boxed{\boxed{\sf{x=\frac{30+35\sqrt{23}}{6}\:and\:\frac{30-35\sqrt{23}}{6}}}}}$

Step-by-step explanation:

$\huge{\boxed{\boxed{\underline{\sf{SOLUTION-}}}}}$

☆Quadratic formula:

$3 {x}^{2} - 30x - 29 = 0 \\ d = {b}^{2} - 4ac \\ d = ({ - 30})^{2} - 4(3 \times - 29) \\ d = 900 - 4( - 87) \\ d = 900 + 348 \\ d = 1248 \\ \\ x = \frac{ - b + - \sqrt{d} }{2a} \\ x = \frac{ - ( - 30) + \sqrt{1248} }{2 \times 3} \\ x = \frac{30 + 35 \sqrt{23} }{6} - - - - - 1st \: zeroes \\ similarly \\ x = \frac{30 - 35 \sqrt{23} }{6} - - - - - 2nd \: zeroes$

$\huge{\boxed{\boxed{\sf{x=\frac{30+35\sqrt{23}}{6}\:and\:\frac{30-35\sqrt{23}}{6}}}}}$

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