Question

please solve this using quadriatic formula.
ANS=-1200 and 800

Answer 1

Answer:

-1200,800

Step-by-step explanation:

Given Equation is x² + 400x - 96000 = 0

(i)

$x=\frac{-b+\sqrt{b^2-4ac}}{2a}$

$=\frac{-400+\sqrt{(-400)^2 - 4(1)(-960000}}{2}$

$= \frac{-400+\sqrt{4000000}}{2}$

$= \frac{-400+2000}{2}$

$=\frac{1600}{2}$

$= 800$

(ii)

$x=\frac{-b-\sqrt{b^2-4ac}}{2a}$

$=\frac{-(400)-\sqrt{(400)^2-4(1)(-960000)}}{2}$

$=\frac{-400-2000}{2}$

$=\frac{-2400}{2}$

$=-1200$

Therefore, roots of equation are -1200,800.

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