Question

Find the value of a. if
22a x 4 x 2a- 8a/(25)3 x 9 = 1/24​

Answer 1

Step-by-step explanation:

$22a \times 4 \times 2a - \frac{8a}{25} 3 \times 9 = \frac{1}{24} \\ \\ 176{a}^{2} - \frac{216a}{25} = \frac{1}{24} \\ \\ 105600 {a}^{2} - 5184a = 25 \\ \\ 105600 {a}^{2} - 5184a - 25 = 0$

we know that

$x = \frac{ - b + \sqrt{ {b}^{2} - 4 \times a \times c } }{2a}$

and

$x = \frac{ - b - \sqrt{ {b}^{2} - 4 \times a \times c } }{2a}$

$a = \frac{ 5184 + \sqrt{ {(5184)}^{2} - 4 \times 105600 \times ( - 25)} }{2 \times 105600}$

and

$a = \frac{ 5184 - \sqrt{ {(5184)}^{2} - 4 \times 105600 \times ( - 25)} }{2 \times 105600}$

$a = \frac{ 5184 - \sqrt{ 26873856 + 10560000} }{211200}$

and

$a = \frac{ 5184 + \sqrt{ 26873856 + 10560000} }{211200}$

$a = \frac{ 5184 - \sqrt{ 37433856} }{211200}$

and

$a = \frac{ 5184 + \sqrt{ 37433856} }{211200}$

$a = \frac{ 5184 - 6118.3 }{211200}$

and

$a = \frac{ 5184 + 6118.3 }{211200}$

$a = \frac{ 11302.3 }{211200}$

and

$a = \frac{ - 934.3 }{211200}$

$a = 0.05$

and

$a = - 0.004$