Question

8 ( a + 2 )² + 18 ( a + 2 ) = 5​

Answer 1

Answer:

Let a+2 = X

$8 {x}^{2} + 18x - 5 = 0$

$8 {x}^{2} + 20x - 2x - 5 = 0$

$4x(2x - 5) - 1(2x - 5) = 0$

$(2x - 5)(4x - 1) = 0$

$x = \frac{5}{2} \: \: or \: \: \frac{1}{4}$

$a + 2 = \frac{5}{2} \: \: or \: \: a + 2 = \frac{1}{4}$

$a = \frac{1}{2} \: \: or \: \: - \frac{7}{4}$

Ans