Question

factorise x square + 5root 2x +12​

Answer 1

Answer:

x²+5√2x+12

solve this question Sridhar Acharya formula.....

(-5√2+_√50-48)/2

(-5√2+_√2)/2

√2(-5+_1)/2

x= -2√2, -3√2

this is your answer ✔️✔️

Answer 2

Answer:

There are some polynomials which can not be factorized and are thus solved bu using sridharacharya formula

$x^{2} + 5\sqrt{2}x + 12$

a = 1

b = $5\sqrt{2}$

c = 12

$x = \frac {-b ± \sqrt{b^{2} - 4ac}}{2a}\\\\x = \frac {-(-5\sqrt{2}) ± \sqrt{(-5\sqrt{2})^{2} - 4(1)(12)}}{2(1)}\\\\x = \frac {(5\sqrt{2}) ± \sqrt{50 - 48}}{2} \\\\x = \frac {(5\sqrt{2}) ± \sqrt{2}}{2}$

thus

$x = \frac{5\sqrt{2} + \sqrt{2}}{2}\\\\x=\frac{\sqrt{2}(5+1)}{2}\\\\x=\frac{\sqrt{2}(6)}{2}\\\\x=3\sqrt{2}$

&

$x = \frac{5\sqrt{2} - \sqrt{2}}{2}\\\\x=\frac{\sqrt{2}(5-1)}{2}\\\\x=\frac{\sqrt{2}(4)}{2}\\\\x=2\sqrt{2}$

I hope this helps......