Question

X square + 9 root 3 X + 24

Answer 1

Answer:

Step-by-step explanation:

X²+√9(3x)+24=0

X²+3(3x)+24=0

X²+9x+24=0

Now formula,

a=1,b=9,c=24

-b²-4ac

(-9²)-4(1)(24)

81-4*24

81-96

-15

Now

-b±√-15/2a

-9±√-15/2(1)

-9±√-15/2

-9+√-15/2

or

-9-√-15/2

-9+3.873/2

Or

-9-3.873/2

-6.127/2 or

-12.873/2

Ans. -3.0675 or -6.43..

Answer 2

${x}^{2} + 9\sqrt{3} x + 24$

$a = 1\\ \\ b = 9 \sqrt{3} \\ \\ c = 24$

$x = \frac{ - b \: ± \sqrt{ {b}^{2} -4ac} }{2a} \\ \\ = \frac{ - 9 \sqrt{3} ± \: \sqrt{ {(9 \sqrt{3} )}^{2} - 4 \times 1 \times 24 } }{2 \times 1} \\ \\ = \frac{ - 9 \sqrt{3} ± \sqrt{243 - 96} }{2} \\ \\ = \frac{ - 9 \sqrt{3} ± \sqrt{147} }{2}$





$x = \frac{ - 9 \sqrt{3} + \sqrt{147} }{ 2} \\ \\ \\ \\ x = \frac{ - 9 \sqrt{3} - \sqrt{147} }{2}$