Question

3x²-24x-3840=0 using quadratic formula. ​

Answer 1

Answer: 40 and -32

Step-by-step explanation:

❍ Given :-

• 3x² - 24x - 3840 = 0

❍ To Find :-

• Zeroes of the polynomial using quadratic formula.

❍ Solution :-

➸ Taking common factor,

→ 3x² - 24x - 3840 = 0

→ 3(x² - 8x - 1280) = 0

➸ Dividing both sides of the equation by the same factor,

→ x² - 8x - 1280 = 0

Here, a = 1, b = -8 and c = -1280

➸ Using quadratic formula,

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

$x = \dfrac{-( - 8)± \sqrt{{(- 8)}^{2} - 4.1( - 1280)}}{2.1}$

➸ Simplify,

$x = \dfrac{8±72}{2}$

➸ Separate the equation,

$→x = \dfrac{8 + 72}{2}$

$→x = \dfrac{8 - 72}{2}$

➸ Solve,

$→\boxed{x = 40}$

$→\boxed{x = - 32}$

Hence, the zeroes of the polynomial 3x² - 24x - 3840 = 0 using quadratic formula is 40 and -32.