Question

Solve the equation 16a^2-72a-49=0,a=​

Answer 1

Step-by-step explanation:

$16 {a}^{2} - 72a - 49 = 0 \\ a = \frac{72 + \sqrt{ {72}^{2} + 4 \times 16 \times 49} }{32 } \\ a = \frac{72 + \sqrt{8320} }{32} \\ a = \frac{72 + 8 \sqrt{130} }{32} \\ a = \frac{8(9 + \sqrt{130}) }{32} \\ a = \frac{9 + \sqrt{130} }{4} \\ a = \frac{9 + \sqrt{130} }{4} \: \: \:, \: \frac{9 - \sqrt{130} }{4} \\ hope \: it \: will \: help \: you....$