Question

Factorise
$x ^{2} - 30x - 540 = 0$


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Answer 1

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Answer 2

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$\tt{ {x}^{2} - 30x - 540 = 0}$

BY USING QUADRATIC FORMULA ,

$\tt{x = \frac{ - ( - 30) ± \sqrt{( { - 30)}^{2} - 4 \times 1 \times ( - 540)} }{2 \times 1} }$

$\tt{x = \frac{30± \sqrt{900 + 2160} }{2} }$

$\tt{x = \frac{30± \sqrt{3060} }{2} }$

$\tt{x = \frac{30± 6\sqrt{85} }{2} }$

FROM THIS WE GET ,

1. $\tt{x = \frac{30 + 6\sqrt{85} }{2} }$
2. $\tt{x = \frac{30 - 6\sqrt{85} }{2} }$

SOLVING THE ABOVE EQUATIONS WILL GIVE THE ANSWERS AS ,

1. $\tt{x = 15 + 3\sqrt{85} }$
2. $\tt{x = 15 - 3 \sqrt{85} }$

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