Question

X^2+100x-5000 middle term split
Please do it fast

Answer 1

Answer:

Step-by-step explanation:

$x^{2}+100x-5000=0$

$x^{2}+(50+50\sqrt{3}+50-50\sqrt{3})x-5000=0$

$x^{2}+\left ( 50+50\sqrt{3} \right )x+\left ( 50-50\sqrt{3} \right )x-\left ( 50^{2}-\left ( 50\sqrt{3} \right )^{2} \right )=0$

$x\left ( x+50+50\sqrt{3} \right )+\left ( 50-50\sqrt{3} \right ) \right )\left ( x+50+50\sqrt{3} \right )=0$

$(x+50+50\sqrt{3})\left ( x+50-50\sqrt{3} \right )=0$

first root

$x=-50-50\sqrt{3}$

second root

$x=-50+50\sqrt{3}$