Question

a⁴+3a²+4.factorize the term​

Answer 1

Step-by-step explanation:

Let a²=x

$\bf \therefore \: {x}^{2} + 3x + 4$

$\tt \: x\implies \large \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\\tt \: x\implies \: \frac{ -3 \pm \sqrt{ {(3)}^{2} - 4 \times 1 \times 4 } }{2 \times 1} \\ \\ \tt \: x\implies \frac{ - 3 \pm \sqrt{9 - 16} }{2} \\ \\ \tt \: x\implies \frac{ - 3 \pm \sqrt{ - 7} }{2} \\ \\ \tt \: x\implies \frac{ - 3 + \sqrt{ - 7} }{3} or \: \frac{ - 3 - \sqrt{ - 7} }{2} \\ \\ \boxed{\tt \: x\implies \frac{ - 3 +7i}{3} or \: \frac{ - 3 - 7i }{2} .....(i = \sqrt{ - 1} )} \\ \\ \sf {x}^{2} \implies \frac{ - 3 + 7i}{3} \times \frac{ - 3 + 7i}{3} \\ \\ \sf {x}^{2} \implies \frac{9 - 21i - 21i + 49 {i}^{2} }{9} \\ \\ \sf {x}^{2} \implies \frac{9 - 42i - 49}{9} \\ \\ \sf {x}^{2} \implies \frac{ - 40 - 42i}{9} \\ \\ \sf {x}^{2} \implies \: a$